SSC CGL 9 Aug 2015 Shift 1 Paper

Question : 124 of 200

Marks: +1, -0

Eighteen years ago, the ratio of A’s age to B’s age was 8 : 13. Their present ratios are 5 : 7. What is the present age of A ?

Solution:

18 years ago,
A’s age = 8x years
B’s age = 13x years
∴ At present,

{8x+18}/{13x+18}

5/7

⇒ 56x + 126 = 65x + 90
⇒ 65x – 56x = 126 – 90
⇒ 9x = 36 ⇒ x =

{36}/9

= 4
∴ A’s present age = 8x + 18
= 8 × 4 + 18
= 50 years

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