181. The ratio of ages of A, B and C is 1: 3: 5. If the difference between the ages B and C is 36, find the average age of B and C.

A, B और C की आयु का अनुपात 1: 3: 5 है। यदि B और C की आयु का अंतर 36 है, तो B और C की औसत आयु ज्ञात कीजिए।

A. 108
B. 90
C. 54
D. 72
E. 162

Option “D” is correct.

The ratio of ages of A, B and C = 1: 3: 5 (x, 3x, 5x)

5x – 3x = 36

x = 18

Required average = (3x + 5x)/2 = 4x = 4 * 18 = 72

182. Four times the difference in ages of Chetan and Anil is one more than the age of Binod. Percentage of Anil’s age to Chetan’s age is 75%. If ratio of Binod’s age 5 years hence to Chetan’s age 1 year ago is 4: 3. Find the average of ages Anil and Chetan.

चेतन और अनिल की उम्र में चार गुना अंतर बिनोद की उम्र से अधिक है। चेतन की उम्र में अनिल की आयु का प्रतिशत 75% है। यदि 1 साल पहले चेतन की उम्र के लिए बिनोद की उम्र 5 साल का अनुपात 4: 3 है। अनिल और चेतन की औसत आयु खोजें।

A. 10
B. 14
C. 15
D. 25
E. None of these

Option “B” is correct.

4 (C-A) = B + 1 —- (1)

A/C * 100 = 75 => A/C = 75/100 = 3/4

Sub from eqtn (1)

4 (4x-3x) = B+1

16x -12x =B+1

4x -1= B —- (2)

(B+5)/(C-1) = 4/3

(4x-1+5)/(4x-1) =4/3

(4x+4)/(4x-1) =4/3

12x +12 = 16x-4

4x =16=> x =4

=> A = 12, C = 16

=> Required average = 28/2 = 14

183. Age of A after 5 years is equal to the age of B after 3 years. Ratio of present age of A and C is 4:5. If Age of C after 5 years is 30 years, then find the average age of A, B and C?

5 वर्ष बाद A की आयु 3 वर्ष बाद B की आयु के बराबर है। A और C की वर्तमान आयु का अनुपात 4:5 है। यदि 5 वर्ष बाद C की आयु 30 वर्ष है, तो A, B और C की औसत आयु ज्ञात कीजिए?

A. 21.33
B. 25.33
C. 24.33
D. 21.75
E. None of these

Option “E” is correct.

Let present age of C = 30-5=25 years.

Age of A = 24*4/5=20 years.

And age of B =[20+5]-3=22 years.

So, required average age= [25+20+22]/3=22.33

184. Average age of 3 members in a family 5 years ago was 43 years. After 12 years, the difference between the age of a father and his son is 31 years. 7 years hence, the age of his wife is 62 years and then find the average age of his wife and son?

5 वर्ष पहले एक परिवार में 3 सदस्यों की औसत आयु 43 वर्ष थी। 12 वर्ष बाद, पिता और उसके पुत्र की आयु के बीच का अंतर 31 वर्ष है। 7 वर्ष बाद, उसकी पत्नी की आयु 62 वर्ष है तो फिर उसकी पत्नी और पुत्र की औसत आयु ज्ञात कीजिए?

A. 63 years
B. 54 years
C. 36 years
D. 42 years
E. None of these

Option “D” is correct.

The sum of the present age of 3 members =43*3+5*3=144 years

The present age of his wife=62-7=55 years

The sum of the present age of father and his son=144-55=89

The present age of father=x

The present age of his son=y

(x+12)-(y+12)=31

x-y=31 — (1)

x+y=89  — (2)

(1)+(2) =>

2x=120

x=60

y=29

Required average=(55+29)/2=42 years

185. Average age of A, B and C is 30 years. The sum of the present ages of B and C is 85 years. The difference between the present age of A and C is 50 years. Find the average age of B and C together?

A, B और C की औसत आयु 30 वर्ष है। B और C की वर्तमान आयु का योग 85 वर्ष है। A और C की वर्तमान आयु के बीच का अंतर 50 वर्ष है। एकसाथ B और C की औसत आयु ज्ञात कीजिए?

A. 40.5 years
B. 41.5 years
C. 42.5 years
D. 43.5 years
E. None of these

Option “C” is correct.

Average age of A,B and C= 30

A+B+C= 90

Sum of the present age of B and C = 85

Difference between the present age of A and C= 50

The sum of the present age of A and B = 35

A+B+C – A+B= 90- 35 = 55

The present age of C= 55

The present age of B= 85-55= 30

Average age of B and C = (55 + 30)/2= 85/2 = 42.5 years

186. If one of the midfield players age is 25 years, then find the average age of other two midfield players.

यदि मिडफ़ील्ड खिलाड़ियों में से एक की आयु 25 वर्ष है, तो अन्य दो मिडफ़ील्ड खिलाड़ियों की औसत आयु ज्ञात कीजिए।

A. 26
B. 28
C. 30
D. 25
E. None of these

Option “B” is correct.

Average age of 3 midfield players = 27

Sum of 3 midfield players age = 27 * 3 = 81

Sum of other two midfield players age = 81 – 25 = 56

Required average = 56 / 2 = 28

187. C’s present age is 60% more than D’s present age and the ratio of present age of B to that of C is 2:5. A is 8 years younger than C and A’s present age is twice of that of B. Find the average of present age of B, C & D (in years)?

C की वर्तमान आयु, D की वर्तमान आयु से 60% अधिक है और B से C की वर्तमान आयु का अनुपात 2:5 है। A, C से 8 वर्ष छोटा है और A की वर्तमान आयु B से दोगुनी है। B, C और D (वर्षों में) की वर्तमान आयु का औसत ज्ञात कीजिए?

A. 28 years
B. 27 years
C. 26 years
D. 29 years
E. none of these

Option “B” is correct.

Let the present age of C and D is 8x and 5x respectively

Let A’s present age = 8x – 8

Let B’s present age = 4x – 4

Ratio of B and C’s present age is 2: 5

(4x – 4)/8x = 2/5

20x – 20 = 16x

x = 5

Ages of B, C and D = (4*5) – 4 + (8*5) + (5*5) = 81 Years

Required average = 81/3 = 27 years

188. If the ratio of the age of A, 5 years hence and the age of B, 2 years ago is 4:5 respectively and the age of B is 40% more than that of the age of C. If the present age of A and B is 9/14, then find the average age of A, B and C together?

यदि 5 वर्ष बाद A की आयु और 2 वर्ष पहले B की आयु का अनुपात क्रमशः 4:5 है और B की आयु, C की आयु से 40% अधिक है। यदि A और B की वर्तमान आयु 9/14 है, तो एकसाथ A, B और C की औसत आयु ज्ञात कीजिए?

A. 62 years
B. 45 years
C. 33 years
D. 57 years
E. None of these

Option “C” is correct.

(4x-5)/(5x+2)=9/14

56x-70=45x+18

11x=88

x=8

A=4*8-5=27 years

B=5*8+2=42 years

C=42*100/140=30 years

Required average=(27+42+30)/3=99/3=33 years

189. There are 10 students in the class. The average age of first five students in the class is 25 years and then the average of next two students in the class is 30 years. If the remaining three student’s average age is 39 years, then what is the average age of the class?

कक्षा में 10 छात्र हैं। कक्षा में पहले पांच छात्रों की औसत आयु 25 वर्ष है और फिर कक्षा में अगले दो छात्रों की औसत आयु 30 वर्ष है। यदि शेष तीन छात्र की औसत आयु 39 वर्ष है, तो कक्षा की औसत आयु क्या है?

A. 30.2 years
B. 32.5 years
C. 36.4 years
D. 31.8 years
E. 39 years

Option “A” is correct.

Total age of the class = 5 * 25 + 2 * 30 + 39 * 3= 302

Required average = 302/10 = 30.2 years

190. Ratio of present age of Satish and Raju is 7: 6. Sum of the present age of Sweta and Satish is 54. Anu is 4 years younger than Raju. Average of present ages of Raju, Anu and Sweta is 23 1/3 years. Find the difference of Sweta and Anu’s age.

सतीश और राजू की वर्तमान आयु का अनुपात 7: 6 है। स्वेता और सतीश की वर्तमान आयु का योग 54 है। अनु, राजू से 4 वर्ष छोटी है। राजू, अनु और स्वेता की वर्तमान आयु का औसत 23 1/3 वर्ष है। स्वेता और अनु की आयु का अंतर ज्ञात करें।

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

Option “C” is correct.

Satish = 7x and Raju = 6x

Anu = 6x – 4 and Sweta + 7x = 54

Sweta = 54 – 7x

(6x + 6x – 4 + 54 – 7x)/3 = 23 1/3

=> x = 4

Swetha = 54 – 7x = 26 years

Anu = 6x – 4 = 20 years

Required difference = 26 – 20 = 6 years

Pages: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27

54 thoughts on “Problems on Ages”

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