231. Average of the ages of Nisha, Abhi and Raju before three years was ___________ years. Average of the ages of Abhi, Raju and Surbhi after three years will be 29 years. If Surbhi is 18 years old, average of the present ages of Nisha and Surbhi is __________ years.

Which of the following option/options satisfy the given condition?

तीन वर्ष पहले निशा, अभि और राजू की आयु का औसत ___________ वर्ष था। तीन वर्ष बाद अभि, राजू और सुरभि की आयु का औसत 29 वर्ष होगा। यदि सुरभि की आयु 18 वर्ष है, तो निशा और सुरभि की वर्तमान आयु का औसत __________ वर्ष है।

निम्नलिखित में से कौन सा विकल्प/विकल्प दी गई शर्त को पूरा करते हैं?

A. 25, 21
B. 20, 13.5
C. 28, 25.5
D. All of the above
E. None of the above

Option “D” is correct.

Surbhi = 18 years

Abhi + Raju + Surbhi = 3 x 29 – 3 x 3

=>Abhi + Raju + 18 = 87 – 9

=>Abhi + Raju = 78 – 18

=>Abhi + Raju = 60

(a)

Nisha + Abhi + Raju = 3 x 25 + 3 x 3

=>Nisha + Abhi + Raju = 75 + 9

=>Nisha + Abhi + Raju = 84 ———- (i)

=> Nisha + 60 = 84

=> Nisha = 84 – 60

=> Nisha = 24

Average = (18 + 24)/2 = 42/2 = 21 years = 21

=> Satisfies the given condition.

(b)

Nisha + Abhi + Raju = 3 x 20 + 3 x 3

=> Nisha + Abhi + Raju = 60 + 9

=> Nisha + Abhi + Raju = 69———- (i)

=> Nisha + 60 = 69

=> Nisha = 69 – 60

=> Nisha = 9

Average = (18 + 9)/2 =27/2 = 13.5 years = 13.5

=> Satisfies the given condition.

(c)

Nisha + Abhi + Raju = 3 x 28 + 3 x 3

=> Nisha + Abhi + Raju = 84 + 9

=> Nisha + Abhi + Raju = 93———- (i)

=> Nisha + 60 = 93

=> Nisha = 93 – 60

=> Nisha = 33

Average = (18 + 33)/2 = 51/2 = 25.5 years = 25.5

=> Satisfies the given condition.

232. Age of A before 6 years is 5/4th of the present of C and B is 12 years elder than C. If the sum of the ages of A, B and C before 4 years is 58 years, then find the present age of A.

6 वर्ष पहले A की आयु C की वर्तमान आयु का 5/4 है और B, C से 12 वर्ष बड़ा है। यदि 4 वर्ष पहले A, B और C की आयु का योग 58 वर्ष है, तो A की वर्तमान आयु ज्ञात कीजिए।

A. 30 years
B. 26 years
C. 20 years
D. 16 years
E. None of these

Option “B” is correct.

Present age of A = 5x + 6

Present age of C = 4x

Present age of B = 4x + 12

5x + 6 + 4x + 12 + 4x = 58 + 4 * 3

13x + 18 = 70

13x = 52

x = 4

Present age of A = 5 * 4 + 6 = 26 years

233. The age of father before 18 years is 2 years more than 140% of the present age of son. Ratio of the age of father before 8 years to the present age of son is 2:1. Find the average of the present age of father and son.

18 वर्ष पहले पिता की आयु पुत्र की वर्तमान आयु के 140% से 2 वर्ष अधिक है। 8 वर्ष पहले पिता की आयु से पुत्र की वर्तमान आयु का अनुपात 2:1 है। पिता और पुत्र की वर्तमान आयु का औसत ज्ञात कीजिए।

A. 28 years
B. 34 years
C. 30 years
D. 35 years
E. None of these

Option “B” is correct.

Present age of father = 2x + 8

Present age of son = x

(2x + 8 – 18) = [(140/100) * x] + 2

2x – 10 – 2 =(7/5) * x

2x – 12 = 7x/5

10x – 60 =7x

3x = 60

x = 20

Present age of father = (2 * 20) + 8 = 48 years

Present age of son = 20 years

Required average = (48 + 20)/2 =68/2= 34 years

234. The average age of Father, Mother, Son and Daughter after 5 years is 27 and the ratio of present of Son and Daughter is 2:3 and the present age of Father is 4 years more than the present age of Mother. Find the difference between the age of Mother before 4 years and the present age of Son, if the sum of present age of Son and Daughter is 20 years.

5 वर्ष बाद पिता, माता, पुत्र और पुत्री की औसत आयु 27 है और पुत्र और पुत्री की वर्तमान आयु का अनुपात 2:3 है और पिता की वर्तमान आयु, माता की वर्तमान आयु से 4 वर्ष अधिक है। यदि पुत्र और पुत्री की वर्तमान आयु का योग 20 वर्ष है, तो 4 वर्ष पहले की माँ की आयु और पुत्र की वर्तमान आयु के बीच का अंतर ज्ञात कीजिए।

A. 25 years
B. 20 years
C. 24 years
D. 28 years
E. None of these

Option “B” is correct.

Sum of age of Father, Mother, Son and Daughter = 27 * 4 = 108 years

Sum of present age of Father, Mother, Son and Daughter = 108 – 4 * 5 = 88 years

Sum of present age of Father and Mother = 88 – 20 = 68 years —- (1)

Father – Mother = 4 years —- (2)

From (1) and (2),

2 * Father = 72

Present age of Father = 72/2 = 36 years

Present age of Mother = 68 – 36 = 32 years

Present age of Son = 20 * 2/5 = 8 years

Required difference = (32 – 4) – 8 = 20 years

235. The average of present age of P, Q and R is 21 years and the ratio of present age of P and Q is 5:7 and the ratio of present age of Q and R is 7:9. Find the sum of age of P after 5 years and age of R before 6 years.

P, Q और R की वर्तमान आयु का औसत 21 वर्ष है और P और Q की वर्तमान आयु का अनुपात 5:7 है और Q और R की वर्तमान आयु का अनुपात 7:9 है। 5 वर्ष बाद P की आयु और 6 वर्ष पहले R की आयु का योग ज्ञात कीजिए।

A. 41 years
B. 35 years
C. 48 years
D. 55 years
E. None of these

Option “A” is correct.

Ratio of present age of P, Q and R = 5 : 7 : 9

Total present age of P, Q and R = 21*3 = 63 years

5x + 7x + 9x = 63

21x = 63

x = 3

Present age of P = 5*3 = 15 years

Present age of R = 9*3 = 27 years

Total sum = (15+5) + (27-6) = 41 years

236. The ratio of the present ages of Sree and Nithya is 4:7. Ratio of the age of Sree 7 years hence to the age of Nithya before 2 years is 9:11. Find the difference of their present ages.

श्री और निथ्या की वर्तमान आयु का अनुपात 4:7 है। 7 वर्ष बाद श्री की आयु से 2 वर्ष पहले निथ्या की आयु का अनुपात 9:11 है। उनकी वर्तमान आयु का अंतर ज्ञात कीजिए।

A. 11 years
B. 15 years
C. 18 years
D. 23 years
E. None of these

Option “B” is correct.

Let the present age of Sree and Nithya be 4x and 7x respectively.

(4x + 7)/ (7x – 2) = 9/11

44x + 77 = 63x – 18

95 = 19x

x = 5

Required difference = 3x = 3*5 = 15 years.

237. The ratio of the ages of A and B is 10 years before is 2:3. The ratio of the present ages of A and C is 7:8 and after 20 years the ratio of the ages of A and C will become 12:13. Find B’s age after 13 years?

10 वर्ष पहले A और B की आयु का अनुपात 2:3 है। A और C की वर्तमान आयु का अनुपात 7:8 है और 20 वर्ष बाद A और C की आयु का अनुपात 12:13 हो जाएगा। 13 वर्ष बाद B की आयु ज्ञात कीजिये?

a) 60 years
b) 40 years
c) 50 years
d) 70 years
e) None of these

Option “C” is correct.

7x+20/8x+20=12/13

91x+260=96x+240

5x=20

x=4

A=7(4)=28 years

10 years before=28-10=18 years

B’s age 10 years ago=3/2*18=27 years

Present age of B=27+10=37 years

After 13 years B’s age=37+13=50 years

238. 7 years before, the ratio of the ages of Rani and Kavi is 5:8. If the ratio of the present ages of Divya and Rani is 2:3 and the difference between the ages of Rani and Divya 3 years before is 14 years, then find the present age of Kavi?

7 वर्ष पहले, रानी और कवि की आयु का अनुपात 5:8 है। यदि दिव्या और रानी की वर्तमान आयु का अनुपात 2:3 है और 3 वर्ष पहले रानी और दिव्या की आयु के बीच का अंतर 14 वर्ष है, तो कवि की वर्तमान आयु ज्ञात कीजिये?

a) 63 years
b) 70 years
c) 56 years
d) 77 years
e) None of these

Option “A” is correct.

(3x – 3) – (2x – 3) = 14

x = 14

Present age of Rani = 3 * 14 = 42 years

Kavi’s age 7 years before = (42-7)* 8/5 = 56 years

Present age of Kavi = 56 + 7 = 63 years

239. After 8 years from now, the ratio of the ages of Hema and Bema is 2:3. If the difference between the present age of Hema and Bema is 20 years, then what is the age of Bema before 2 years from now?

अब से 8 वर्ष बाद, हेमा और बेमा की आयु का अनुपात 2:3 है। यदि हेमा और बेमा की वर्तमान आयु के बीच का अंतर 20 वर्ष है, तो अब से 2 वर्ष पहले बेमा की आयु क्या है?

a) 45 years
b) 50 years
c) 52 years
d) 48 years
e) 54 years

Option “B” is correct.

3x + 8 – 2x – 8 = 20

x = 20

Age of Bema 2 years before = 3 * 20 – 8 – 2 = 50 years

240. The average of the ages of Yuvi and Pavi is 47 years. 8 years ago, the ages of Pavi and Yuvi in the ratio of 17:22. If Bavi is 12 years younger than Yuvi, then what is the ratio of the ages of Bavi and Pavi after 8 years?

युवी और पावी की आयु का औसत 47 वर्ष है। 8 वर्ष पहले, पावी और युवी की आयु का अनुपात 17:22 है। यदि बावी, युवी से 12 वर्ष छोटी है, तो 8 वर्ष बाद बावी और पावी की आयु का अनुपात क्या है?

a) 14:15
b) 19:20
c) 23:24
d) 24:25
e) None of these

Option “D” is correct.

Yuvi + Pavi = 47 * 2 = 94

17x + 8 + 22x + 8 = 94

x = 2

Present age of Yuvi = 22 * 2 + 8 = 52

Bavi = 52 – 12 = 40 years

Pavi = 17 * 2 + 8 = 42

Required Ratio = 48:50

= 24:25

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

131 thoughts on “Problems on Ages”

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