Present age of A and B are in the ratio of 6 7 respectively 8 years hence the ratio of ages will bec...........

Quant (SSC) Problems based on Ages

Present age of A and B are in the ratio of 6 : 7 respectively. 8 years hence, the ratio of ages will become 7 : 8 respectively. What is A's present age in years ?

30 years

40 years

48 years

52 years

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Explanation:

Let the present ages of A and B be 6x and 7x years respectively.
Then, 6x + 8 /7x + 8 = 7 /8
⇒ 48x + 64 = 49x + 56
⇒ x = 8
So, A's present age = 6x
⇒ 6 × 8 = 48 years.