201. 4 years ago, the ratio of the age of A to B is 11:3. If the present age of A is two times more than the present age of B, then find the age of B 10 years hence.

4 वर्ष पहले, A से B की आयु का अनुपात 11:3 है। यदि A की वर्तमान आयु B की वर्तमान आयु से दोगुनी है, तो 10 वर्ष बाद B की आयु ज्ञात कीजिए।

A. 42 years
B. 30 years
C. 55 years
D. 26 years
E. None of these

Option “D” is correct.

(11x + 4)/(3x + 4) = 3/1

11x + 4 = 9x + 12

2x = 8

x = 4

The age of B 10 years hence = 3 * 4 + 4 + 10 = 12 + 14 = 26 years

202. Five years ago, the ratio of ages of Anu to Meenu was 4:7. If after two years, the ratio of ages of Anu to Meenu becomes 5:8 respectively, then find the age of Anu 22 years ago?

पांच वर्ष पहले, अनु से मीनू की आयु का अनुपात 4:7 था। यदि दो वर्ष बाद, अनु से मीनू की आयु का अनुपात क्रमशः 5:8 हो जाता है, तो 22 वर्ष पहले अनु की आयु ज्ञात कीजिए?

A. 33 years
B. 22 years
C. 11 years
D. 10 years
E. None of these

Option “C” is correct.

Let the ages of Anu and Meenu five years ago be 4x and 7x respectively,

(4x+7)/(7x+7) = 5/8

32x+56=35x+35

3x= 21

x=7

Present age of Anu = 4x+5 = 4*7 +5 = 28+5 = 33 years

Anu’s age 22 years ago = 33 – 22 = 11 years

203. Ramya is three times as old as Riya. Four years hence, Ramya will be two times as old as Riya. What is the average of the ages of Riya and Ramya?

राम्या, रिया से तीन गुना बड़ी है। चार वर्ष बाद, राम्या की आयु रिया से दोगुनी होगी। रिया और राम्या की आयु का औसत कितना है?

A. 8 years
B. 10 years
C. 12 years
D. 6 years
E. 4 years

Option “A” is correct.

Ramya = 3 * Riya

Ramya + 4 = 2 * (Riya + 4)

3Riya + 4 = 2Riya + 8

Riya = 4

Ramya = 4 * 3 = 12

Required Average = (12 + 4)/2 = 8 years

204. The respective ratio of the present ages of father to son is 7:3. Five years ago, the ratio of their ages was 5:2. Then what will be the son’s age, 10 years from now?

पिता से पुत्र की वर्तमान आयु का संबंधित अनुपात 7:3 है। पांच वर्ष पहले, उनकी आयु का अनुपात 5:2 था। तो अब से 10 वर्ष बाद पुत्र की आयु क्या होगी?

A. 45 years
B. 55 years
C. 60 years
D. 35 years
E. 40 years

Option “B” is correct.

The respective ratio of the present ages of father to son is 7:3

Father’s age = 7x

Son’s age = 3x

Five years age, Father’s age = 7x-5

Son’s age = 3x-5

Ratio

(7x – 5)/(3x – 5) = 5/2

14x – 10 = 15x – 25

X = 15

Son’s present age = 15 * 3=45 years

After 10years, the son’s age = 55 years

205. Three years hence, the ratio of Karthi and Janvi will be 7:5. The age of Karthi two years hence is equal to two times of age of Janvi, 5 years ago. What is the present age of Karthi?

तीन वर्ष बाद, कार्थी और जाह्नवी का अनुपात 7:5 होगा। दो वर्ष बाद कार्थी की आयु 5 वर्ष पहले जाह्नवी की आयु के दो गुने के बराबर है। कार्ति की वर्तमान आयु क्या है?

A. 24 years
B. 26 years
C. 32 years
D. 38 years
E. None of these

Option “C” is correct.

Three years hence, the ratio of Karthi and Janvi = 7:5(7x, 5x)

Present age of Karthi and Janvi = 7x – 3, 5x – 3

According to the question,

7x – 1 = 2*(5x – 8)

7x – 1 = 10x – 16

3x = 15

X = 5

The present age of Karthi = 7x – 3 = 35 – 3 = 32 years

206. 2 years hence, the age of Sunil is six times the age of his son. 2 years ago, the ratio of the age of Sunil to his son is 16:1, then find the age of Sunil 4 years ago?

2 वर्ष बाद, सुनील की आयु उसके पुत्र की आयु की छह गुनी है। 2 वर्ष पूर्व, सुनील की आयु से उसके पुत्र की आयु का अनुपात 16:1 है, तो 4 वर्ष पूर्व सुनील की आयु ज्ञात कीजिये?

A. 60 years
B. 30 years
C. 54 years
D. 48 years
E. None of these

Option “B” is correct.

Let the present age of his son = 1x – 2

And the present age of Sunil = 6x – 2

(6x – 2 – 2)/(1x – 2 – 2) = 16/1

(6x – 4) * 1 = (1x – 4) * 16

6x – 4 = 16x – 64

10x = 60

x = 6

The present age of Sunil = 6 * 6 – 2 = 36 – 2 = 34 years

The age of Sunil 4 years ago = 34 – 4 = 30 years

207. The age of Mathi is 120% of the age of Sunil and the ratio of the age of Sunil to Bala is 5:8. If the age of Mathi 5 years hence is equal to the age of Bala 5 years ago, then find the age of Sunil?

माथी की आयु सुनील की आयु का 120% है और सुनील से बाला की आयु का अनुपात 5:8 है। यदि 5 वर्ष बाद माथी की आयु 5 वर्ष पहले बाला की आयु के बराबर है, तो सुनील की आयु ज्ञात कीजिए?

A. 25 years
B. 50 years
C. 20 years
D. 30 years
E. 45 years

Option “A” is correct.

The ratio of the age of Mathi, Sunil and Bala = (5 * 120/100):5:8 = 6:5:8

6x + 5 = 8x – 5

2x = 10

x = 5

The age of Sunil = 5 * 5 = 25 years

208. The ratio of the age of A 5 years ago to the age of B 4 years hence is 2:5 and the ratio of the present age of B to A is 12:7. Find the sum of the present age of A and B together.

5 वर्ष पहले A की आयु से 4 वर्ष बाद B की आयु का अनुपात 2:5 है और B से A की वर्तमान आयु का अनुपात 12:7 है। एकसाथ A और B की वर्तमान आयु का योग ज्ञात कीजिए।

A. 39 years
B. 65 years
C. 57 years
D. 45 years
E. None of these

Option “C” is correct.

(2x + 5)/(5x – 4) = 7/12

24x + 60 = 35x – 28

11x = 88

x = 8

The present age of A = 2 * 8 + 5 = 16 + 5 = 21 years

The present age of B = 5 * 8 – 4 = 40 – 4 = 36 years

The sum of the present age of A and B together = 21 + 36 = 57 years

209. Ratio of the ages of shankar and ram is 3:4. Ram celebrates his 48th birthday after 12 years. Find the shankar’s age after 10 years.

शंकर और राम की आयु का अनुपात 3:4 है। राम 12 साल बाद अपना 48वां जन्मदिन मना रहे हैं। 10 वर्ष बाद शंकर की आयु ज्ञात कीजिए।

A. 40 years
B. 37 years
C. 46 years
D. 34 years
E. None of these

Option “B” is correct.

Present age of Ram = 48 – 12 = 36 years

Present age of shankar = 36 * 3/4 = 27

Shankar’s age after 10 years = 27 + 10 = 37 years

210. After 12 years, the ratio of the ages of Yazhini and Iniya is 5:4. Ratio of the present ages of Yazhini and Iniya is 4:3. Find the age of Yazhini 8 years before.

12 वर्षों के बाद, याज़िनी और इनिया की आयु का अनुपात 5:4 है। याज़िनी और इनिया की वर्तमान आयु का अनुपात 4:3 है। 8 वर्ष पहले याज़िनी की आयु ज्ञात कीजिए।

A. 40 years
B. 48 years
C. 32 years
D. 56 years
E. None of these

Option “A” is correct.

4x + 12/3x + 12 = 5/4

15x + 60 = 16x + 48

x = 12

Present age of yazhini = 12 * 4 = 48

Yazhini’s age 8 years before = 48 – 8 = 40 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

131 thoughts on “Problems on Ages”

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