Question

QUESTION: 5
GROUP Aptitude
SECTION Quant Math Ability
Present ages of Roger and Rafal are in the ratio 67. Eight years hence the ratio of their ages will be 2225 What was the ratio of their ages six years ago
3:4
30.37
5.6​

Answer 1

*CORRECT QUESTION

Present ages of Roger and Rafal are in the ratio 6:7. Eight years hence the ratio of their ages will be 22:25. What was the ratio of their ages six years ago

ANSWER

The answer is 5:6

GIVEN

Present ages of Roger and Rafal are in the ratio 6:7. Eight years hence the ratio of their ages will be 22:25.

TO FIND

What was the ratio of their ages six years ago

SOLUTION

We can simply solve the above problem as follows;

Ratio of present ages of Roger and Rafal = 6:7

Present age of Roger = 6x

Present age of Rafal = 7x

8 year hence,

Age of Roger = 6x + 8

Age of Rafal = 7x + 8

Ratio of ages of Roger and Rafal = 22:25

Therefore,

$\frac{6x + 8}{7x + 8} = \frac{22}{25}$

= 25(6x + 8) = 22(7x + 8)

= 150x + 200 = 154x + 176

= 200 - 176 = 154x - 150x

= 24 = 4x

x = 24/4 = 6

Roger's present age = 6 × 6 = 36 years

Rafel's present age = 7 × 6 = 42 years

Ratio of their ages six years ago = 30/36 = 5:6

The answer is 5:6

#SPJ1