type 2 age based ratio & proportion problems Practice Questions Answers Test with Solutions & More Shortcuts

Question : 11 [SSC CGL Prelim 2008]

The present age of A and B are in the ratio 4 : 5 and after 5 years they will be in the ratio 5 : 6. The present age of A is

a) 25 years

b) 40 years

c) 20 years

d) 10 years

Answer: (c)

Let the present age of A and B be 4x and 5x years respectively,

According to the question,

${4x + 5}/{5x + 5} = 5/6$

25x + 25 = 24x + 30

x = 30 - 25 = 5

A’s present age

= 4x = 4 × 5 = 20 years

Question : 12 [SSC CHSL 2015]

The current ages of Sonali and Monali are in the ratio 5 : 3. Five years from now, their ages will be in the ratio 10 : 7. Then, Monali’s current age is :

a) 9 years

b) 15 years

c) 3 years

d) 5 years

Answer: (a)

Sonali’s present age

= 5x years

Monali’s present age = 3x years

According to the question,

After 5 years,

${5x + 5}/{3x + 5} =10/7$

${x +1}/{3x + 5} = 2/7$

7x + 7 = 6x + 10

7x - 6x = 10 - 7

x = 3

Monali’s present age

= 3x = 9 years

Question : 13 [SSC CGL Tier-I 2016]

The ratio of the present ages of two boys is 3:4. After 3 years, the ratio of their ages is equal to will be 4:5.The ratio of their ages after 21 years will be

a) 11:12

b) 10:11

c) 17:19

d) 14:17

Answer: (b)

Let the ages of boys be 3x and 4x years respectively.

According to the question,

After 3 years

${3x + 3}/{4x + 3} = 4/5$

16x + 12 = 15x + 15

16x - 15x = 15 - 12

x = 3

Required ratio after 21 years

= ${3x + 21}/{4x + 21}$

= ${3 ×3 + 21}/{4 × 3 + 21} = {9 + 21}/{12 + 21}$

= $30/33 = 10/11$

Question : 14 [SSC CGL Prelim 2008]

Four years ago, the ratio of A’s age to B’s age was 11 : 14 and four years later their age will be in the ratio 13 : 16. The present age of A is

a) 44 years

b) 28 years

c) 26 years

d) 48 years

Answer: (d)

Let the age of A and B four years ago be 11x and 14x years respectively.

According to the question,

After 4 years from now,

${11x + 8}/{14x + 8} = 13/16$

176x + 128 = 182x + 104

182x - 176x = 128 - 104

6x = 24 ⇒ $x = 24/6$ = 4

A’s present age = (11x + 4) years

= 11 × 4 + 4 = 48 years

Question : 15 [SSC CAPFs 2016]

The present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is :

a) 33 years

b) 30 years

c) 32 years

d) 35 years

Answer: (d)

A’s present age = 5x years

B’s present age = 6x years

According to the question,

After 7 years,

${5x + 7}/{6x + 7} = 6/7$

36x + 42 = 35x + 49

36x - 35x = 49 - 42

x = 7

A’s present age

= 5x = 35 years

IMPORTANT quantitative aptitude EXERCISES

type 2 age based ratio & proportion problems Online Quiz

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