251. A mother is 28 years older than twice the age of her son. Five years later, the mother will be 10 years older than thrice the age of her son. What is mother’s present age?

एक माँ अपने बेटे की उम्र के दोगुने से 28 साल बड़ी है। पाँच साल बाद, माँ अपने बेटे की उम्र के तीनगुने से 10 साल बड़ी होगी। माँ की वर्तमान आयु क्या है?

A. 44 years
B. 38 years
C. 40 years
D. 48 years
E. None of these

Option “A” is correct.

Let us take son’s age be S and Mother’s age be M

M=2S+28

M-2S=28—-(1)

M+5=3(S+5)+10

M-3S=20

M = 20+3S—-(2)

(1) = (2)

2S +28 = 20 + 3S

S = 8

M=2(8)+28

M=44 years

252. 8 years ago A’s age is three times of B’s age. A’s age after 4 years is twice of B’s age after 6 years. What is the sum of the present ages of A and B?

8 साल पहले A की आयु B की आयु की तीन गुना थी। 4 वर्ष के बाद A की आयु 6 वर्ष के बाद B की आयु की दोगुनी है। A और B की वर्तमान आयु का योग क्या है?

A. 40 years
B. 60 years
C. 80 years
D. 100 years
E. None of these

Option “C” is correct.

(A – 8)=3( B – 8)

A – 8=3B – 24

A – 3B + 16=0 ———–(1)

(A + 4)=2(B + 6)

A + 4=2B + 12

A – 2B – 8=0 ——–(2)

(1) – ( 2)

-B + 24=0

B=24 years

From (2),

A – (2 * 24) – 8=0

A=56 years

Sum of present ages of A and B=56 + 24=80 years

253. Yash is 4 years older than Yuvansh who is twice as old as Yashvi. If the ratio of the present age of Yash and Yuvan is 6:5 and 6 years ago, the ratio of their age was 36:29, then find the sum of the age of Yuvansh and Yashvi together 3 years hence?

यश, युवंश से 4 वर्ष बड़ा है, जो यशवी से दोगुना बड़ा है। यदि यश और युवान की वर्तमान आयु का अनुपात 6:5 है और 6 वर्ष पहले, उनकी आयु का अनुपात 36:29 था, तो 3 वर्ष बाद एकसाथ युवंश और यशवी की आयु का योग ज्ञात कीजिए?

A. 37
B. 63
C. 45
D. 58
E. None of these

Option “B” is correct.

Let, the present age of Yash =6X

The present age of Yuvan =5X

(6X-6)/(5X-6)=36/29

174X-174=180X-216

6X=42

X=7

The present age of Yash=6*7=42

Let, the present age of Yashvi =Y

The present age of Yuvansh=2Y

The present age of Yash=2Y+4

2Y+4=42

Y=38/2=19

The present age of Yashvi=19

The present age of Yuvansh=19*2=38

Required total=38+19+6=63

254. 6 years hence, the ratio of the ages of Adhi and Saran is 7:4 and 6 years ago the age of Adhi is twice of the age of Saran three years ago. Find the present age of Adhi?

6 साल बाद, आदि और सारण की उम्र का अनुपात 7:4 है और 6 साल पहले आदि की उम्र तीन साल पहले सारण की उम्र की दोगुनी है। आदि की वर्तमान आयु ज्ञात कीजिए?

A. 34 years
B. 40 years
C. 32 years
D. 48 years
E. None of these

Option “E” is correct.

(A + 6)/(S + 6) = 7/4

7S + 42 = 4A + 24

4A – 7S = 18 ——- (1)

A – 6 = 2 * (S – 3)

A – 6 = 2S – 6

A = 2S

8S – 7S = 18

S = 18

A = 18 * 2 = 36 years

255. Age of A after 3 years is twice the age of B before 4 years and the present age of B is 7 years less than the present age of C. If the present age of C is 30 years, then find the average of the present age of A and B.

3 वर्ष बाद A की आयु 4 वर्ष पहले B की आयु की दोगुनी है और B की वर्तमान आयु C की वर्तमान आयु से 7 वर्ष कम है। यदि C की वर्तमान आयु 30 वर्ष है, तो A और B की वर्तमान आयु का औसत ज्ञात कीजिए।

A. 25 years
B. 34 years
C. 22 years
D. 29 years
E. None of these

Option “D” is correct.

Present age of B = 30 – 7 = 23 years

Age of B before 4 years = 23 – 4 = 19 years

Age of A after 3 years = 2 * 19 = 38 years

Present age of A = 38 – 3 = 35 years

Required average = (35 + 23)/2 = 29 years

256. 4 years hence, the age of P is equal to the age of Q, 8 years ago. The age of Q, 2 years hence is thrice the age of P, 10 years ago. Find the present age of Q?

4 वर्ष बाद P की आयु, 8 वर्ष पहले Q की आयु के बराबर है। 2 वर्ष बाद Q की आयु, 10 वर्ष पहले P की आयु की तीन गुना है। Q की वर्तमान आयु ज्ञात कीजिये?

A. 32 years
B. 34 years
C. 30 years
D. 36 years
E. None of these

Option “B” is correct.

The age of Q, 2 years hence = 3 * The age of P, 10 years ago

The ratio of age of Q, 2 years hence and the age of P, 10 years ago = 3: 1

The present age of P and Q = x + 10, 3x – 2

4 years hence, the age of P = The age of Q, 8 years ago

x + 10 + 4 = 3x – 2 – 8

x + 14 = 3x – 10

2x = 24

x = 12

The present age of Q = 3x – 2 = 34 years

257. 8 years hence, Arun will be thrice as old as Magesh’s age of 8 years ago. If Arun is 4 years older than Magesh, what is the present age of Magesh?

8 साल बाद, अरुण 8 साल पहले के मगेश की उम्र के तीन गुना बड़ा होगा। यदि अरुण, मगेश से 4 वर्ष बड़ा है, तो मगेश की वर्तमान आयु क्या है?

A. 10
B. 12
C. 14
D. 18
E. None of these

Option “D” is correct.

Magesh = x years and Arun = x + 4 years

(x + 4) + 8 = 3(x – 8)

=> x = 18 years

258. 4 years ago the age of Vimal is thrice the age of Ram’s present age. If the present age of Ram is 6 years younger than that of Lakshmi and the ratio of the ages of Ram and Lakshmi after 8 years is 10:13, then find the present age of Vimal?

4 वर्ष पहले विमल की आयु, राम की वर्तमान आयु की तीन गुना था। यदि राम की वर्तमान आयु, लक्ष्मी से 6 वर्ष कम है और 8 वर्ष बाद राम और लक्ष्मी की आयु का अनुपात 10:13 है, तो विमल की वर्तमान आयु ज्ञात कीजिए?

A. 42
B. 45
C. 36
D. 40
E. 48

Option “D” is correct.

Vimal – 4 = 3 * Ram

13x – 10x = 6

x = 2

Present age of Ram = 10 * 2 – 8 = 12 years

Present age of Vimal = 3 * 12 + 4 = 40 years

259. At the present the age of the grandfather is seven times that of the age of his grandson. Five years hence, the age of the grandfather would be five times that of his grandson. Then find what will be the age of the grandfather 18 years ago?

वर्तमान में दादाजी की उम्र उनके पोते की उम्र के सात गुना है। पांच साल बाद, दादा की उम्र उनके पोते की पांच गुना होगी। फिर ज्ञात करें कि 18 साल पहले दादा की उम्र क्या होगी?

A. 48 years
B. 52 years
C. 70 years
D. 64 years
E. None of these

Option “B” is correct.

Let the present age of grandson is = x years

Then, the present age of grandfather is = 7x years

So, 5 years hence.

According to the question,

= 5 (x + 5) = (7x + 5)

= 5x + 25 = 7x + 5

= 7x – 5x = 25 – 5

= 2x = 20

= x = 10

So, the present age of the grandfather is = 10 × 7 = 70 years

Thus, the age of grandfather 18 years before is = 70 – 18 = 52 years

260. Aathi is 5 years older than Ambani and Ambani is 5 years older than Deena. 16 years ago, Aathi was 6 years older than twice the age of Deena at that time. Find the present age of Aathi.

आथी, अंबानी से 5 साल बड़े हैं और अंबानी, दीना से 5 साल बड़े हैं। 16 वर्ष पहले, आथी उस समय दीना की आयु के दोगुने से 6 वर्ष बड़ा था। आथी की वर्तमान आयु ज्ञात कीजिए।

A. 25 years
B. 20 years
C. 30 years
D. 22 years
E. 28 years

Option “C” is correct.

Let the ages of Ambani, Aathi and Deena are A, B and C respectively.

As per the question,

B=A+ 5

A=C+ 5

=>B=C+ 10 —-  (i)

Also,

B-16 = 2(C-16) + 6

=> 2C – B = 10 —- (ii)

(i) + (ii) => 2C = C + 20

=> C = 20

=> B = 30 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

148 thoughts on “Problems on Ages”

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