161. There are 3 members in a family – husband, mate and their daughter. Husband’s age is twice his daughter’s age and mate is 5 years younger than his husband. What’s the individual ratio of ages of daughter, husband and mate if their average age is 50?

एक परिवार में 3 सदस्य – पति, पत्नी और उनकी बेटी हैं। पति की उम्र अपनी बेटी की उम्र से दोगुनी है और पत्नी अपने पति से 5 वर्ष छोटी है। यदि उनकी औसत आयु 50 वर्ष है, तो बेटी, पति और पत्नी की आयु का व्यक्तिगत अनुपात क्या है?

A. 14 : 72 : 20
B. 15: 23 :34
C. 20 : 60 : 57
D. 31: 62: 57
E. 10 : 34 : 23

Option “D” is correct.

Let daughter’s age = x

Husband’s age = 2x

mate’s age = 2x – 5

=> x + 2x + (2x – 5) = 50 * 3

 => 5x =155

 => x = 31

 Daughter’s age = 31 years

 Husband’s age = 31 * 2 = 62 years

 Wife’s age = 31 × 2 – 5 = 57 years

 Required ratio = 31: 62: 57

162. The average age of a husband and wife, who were married 5 years ago, was 22.5 years at the time of their marriage. Now the average age of the family, including husband, wife and a child, born during the interval is 19 years. What is the present age of the child?

एक पति और पत्नी की औसत आयु, जिनकी शादी 5 वर्ष पहले हुई थी, उनकी शादी के समय 22.5 वर्ष थी। अब पति, पत्नी और इस अंतराल के दौरान पैदा हुए बच्चे सहित परिवार की औसत आयु 19 वर्ष है। बच्चे की वर्तमान आयु क्या है?

A. 1 year
B. 2 years
C. 3 years
D. 4 years
E. None of these

Option “B” is correct.

Present age of Husband and wife = 22.5 * 2 + 5 * 2 = 55 years

Present age of Husband, wife and child = 19 * 3 = 57 years

Age of child = 57 – 55 = 2 years

163. In a family, a couple has a daughter and son. The age of the father is x times that of his son and the age of the daughter is half of his mother. The wife is x years younger toher husband and the sister is seven years older than his brother. Find what will be the age of the mother?

एक परिवार में, एक दंपति की एक पुत्री और पुत्र है। पिता की आयु उसके पुत्र की x गुना है और पुत्री की आयु उसकी माता से आधी है। पत्नी, अपने पति से x वर्ष छोटी है और बहन, अपने भाई से सात वर्ष बड़ी है। ज्ञात कीजिए कि माता की आयु क्या होगी?

A. 32 years
B. 24 years
C. 18 years
D. 21 years
E. Cannot be determined

Option “E” is correct.

We cannot find the answer of this question because we don’t have any information regarding the age of the persons.

So, the required answer is = Cannot be determined.

164. 15 years ago the average age of a family of four members was 40 years. Two children were born in the span of 15 years. The present average age of the family remains unchanged. Among the two children who were born during the 15 years, if the older child at present is 8 years older than the younger one, what is the ratio of the present age of the older child to the present age of the younger child?

15 वर्ष पहले, चार सदस्यों के एक परिवार की औसत आयु 40 वर्ष थी। 15 वर्ष की अवधि में दो संतान पैदा हुई थीं। परिवार की वर्तमान औसत आयु अपरिवर्तित रहती है। 15 वर्ष के दौरान पैदा होने वाली दोनों संतानों में से, यदि वर्तमान में बड़ी संतान, छोटी संतान से 8 वर्ष बड़ी है, तो बड़ी संतान की वर्तमान आयु से छोटी संतान की वर्तमान आयु का अनुपात क्या है?

A. 13:7
B. 5:3
C. 7:3
D. 9:4
E. None of these

Option “C” is correct.

15 year ago the average age of four-member family was 40 years.

Then, total present age of the four members = 4 x 40 +15 x 4 = 160 +60 = 220

Now, two children are born in a span of 15 years then, the total present age of a family of six-member = 6 x 40 = 240 years

Now, the present age of the two children = 240 -220 = 20 years

Let the age of younger child be X years.

The age of older child = (X+8) years

X + X + 8 = 20

2X + 8 = 20

X = 6 years

The age of the older child = 6 + 8 = 14 years

Required ratio = 14 : 6

= 7:3

165. In a family, a couple has a daughter and son. The age of the mother is three times that of his son and the age of the daughter is 50% of his father. The husband is 9 years younger than her wife and the sister is seven years older than his brother. Find the age of the daughter?

एक परिवार में, एक जोड़े की एक बेटी और एक बेटा है। माँ की आयु उसके पुत्र की आयु की तीन गुना है और पुत्री की आयु उसके पिता की 50% है। पति अपनी पत्नी से 9 वर्ष छोटा है और बहन अपने भाई से सात वर्ष बड़ी है। बेटी की उम्र ज्ञात कीजिये?

A. 26 years
B. 24 years
C. 30 years
D. 21 years
E. None of these

Option “C” is correct.

Let the age of the father=x years

So, the age of mother = (x + 9) years

The age of daughter = x/2years

The age of son = (x/2 – 7) years

Now according to the question,

3 (x/2 – 7) = (x + 9)

 (3x – 42)/2 = x + 9

3x – 42 = 2x + 18

3x – 2x = 42 + 18

x = 60 years

So, the age of daughter = 60/2 = 30 years

166. A joint family contains parents, three children and their grandparents. The average age of parents is 31 years and the average age of children is 5 years and that of the grandparents is 58 years. What is the average age of the family?

एक संयुक्त परिवार में माता-पिता, तीन बच्चे और उनके दादा-दादी हैं। माता-पिता की औसत आयु 31 वर्ष है और बच्चों की औसत आयु 5 वर्ष है और दादा-दादी की औसत आयु 58 वर्ष है। परिवार की औसत आयु क्या है?

A. 30.50 years
B. 20.85 years
C. 25.75 years
D. 27.50 years
E. None of these

Option “D” is correct.

Parent’s age = 31 * 2 = 62

Children’s age = 5 * 3 = 15

Grandparent’s age = 58 * 2 = 116

Required average = (62 + 15 + 116) / (2 + 3 + 2) = 193 / 7 = 27.5 years

167. In a family of 4 members, the age ratio of W and H is 2:3, G is 150% of the sum of the age of S and W and age of S is 1 less than 33.33% of H. If the sum of the ages of all four members is 134, then find the age of S.

4 सदस्यों वाले परिवार में, W और H की आयु का अनुपात 2: 3 है, G, की आयु S और W की आयु के योग का 150% है और S की आयु H की आयु के 33.33% से 1 कम है। यदि सभी चार सदस्यों की आयु 134 है, तो S की आयु ज्ञात करें?

A. 13 years
B. 12 years
C. 11 years
D. 9 years
E. None of these

Option “B” is correct.

Let the age of W and H be 2x years and 3x years respectively.

S= 1/3 * (3x – 1) = (x – 1) years

G= 150/100 * (x – 1 + 2x) = 1.5(3x – 1) = (4.5x + 1.5) years

According to question,

2x + 3x + (x -1) + (4.5x + 1.5) = 134

10.5x – 2.5= 134

10.5x = 136.5

x = 136.5/10.5 = 13

Hence age of S is 13 – 1= 12 years.

168. The average age of a family of 5 persons 5 years before is 30 years. Due to birth of 2 children average age of family was reduced by 3 years. If the age difference between the two children is 2 years, find the age of two children?

5 वर्ष पहले 5 व्यक्तियों के परिवार की औसत आयु 30 वर्ष है। 2 बच्चों के जन्म के कारण परिवार की औसत आयु 3 वर्ष कम हो गई थी। यदि दो बच्चों के बीच आयु का अंतर 2 वर्ष है, तो दो बच्चों की आयु ज्ञात करें?

A. 8, 6
B. 4, 6
C. 2, 4
D. 9, 7
E. None of these

Option “A” is correct.

5 * 30 =150 + 25 (5yrs ago) =175

Birth of 2 children = 7 * 27 =189

189 – 175= 14

2x + 2 = 14

x = 6

The age of two children is 8 and 6 years.

169. Rahul and Aditi got married 20 years ago and at that time ratio of their ages was 5:4. Ratio of present age of Rahul and Aditi is 7:6. After marriage they had seven children including a triplet and a twin. The ratio of present age of triplet, twin, sixth and seventh child is 4:3:2:1. Find the possible value of the present total age of the family.

राहुल और अदिति 20 वर्ष पहले विवाहित हुए और उस समय उनकी आयु का अनुपात 5: 4 था। राहुल और अदिति की वर्तमान आयु का अनुपात 7: 6 है। शादी के बाद उनके सात बच्चे हुए जिनमें एक तिड़वाँ और एक जुड़वाँ शामिल थे। तिड़वाँ, जुड़वाँ, छठे और सातवें बच्चे की वर्तमान आयु का अनुपात 4: 3: 2: 1 है। परिवार की वर्तमान कुल आयु का संभावित मान ज्ञात कीजिए।

A. 114
B. 201
C. 107
D. 214
E. None of these

Option “D” is correct.

Let thepresent age of Rahul and Aditi be 7X and 6X years respectively.

According to question,

28X – 80 = 30X – 100

2X = 20

X = 10  

Present age of Rahul = 7 x 10 = 70 yrs

Present age of Aditi = 6 x 10 = 60 yrs

For maximum value of Present total age of family

Present age of triplets = 16 yrs

Present age of twins = 12 yrs

Present age of sixth = 8 yrs

Present age of seventh = 4 yrs

Maximum present age of that family= 70 + 60 + 16 x 3 + 12 x 2 + 8 + 4 = 214

170. The present ages of three members in a family are in the ratio of 1: 5: 6. Five years ago, the sum of their ages was 69. Find their present ages (in years)?

एक परिवार में तीन सदस्यों की वर्तमान आयु 1: 5: 6 के अनुपात में है। पांच वर्ष पहले, उनकी आयु का योग 69 था। उनकी वर्तमान आयु (वर्षों में) ज्ञात कीजिए?

A. 06, 30 and 36 years
B. 04, 20 and 24 years
C. 05, 30 and 35 years
D. 07, 35 and 42 years
E. None of these

Option “D” is correct.

Let the age of family members be x, 5x and 6x

(x – 5) + (5x – 5) + (6x – 5) = 69

12x – 15 = 69

⇒ 12x = 84

⇒ x = 7

Present ages 07 years, 35 years and 42 years

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