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The present ages of A and B are in the ratio of 7 : 6. Eight years hence, the ratio of their ages will be 8 : 7. Find the present age of B.
Question

The present ages of A and B are in the ratio of 7 : 6. Eight years hence, the ratio of their ages will be 8 : 7. Find the present age of B.

A.

48 years

B.

24 years

C.

36 years

D.

40 years

Correct option is A

Given:
Ratio of present ages of A and B = 7 : 6
Ratio of their ages after 8 years = 8 : 7
Formula Used:
A+TB+T=NANB\frac{A + T}{B + T} = \frac{N_A}{N_B}​​
Solution:
Let the present ages of A and B be 7x and 6x respectively.
Formulate the equation based on their ages after 8 years:
7x+86x+8=87\frac{7x + 8}{6x + 8} = \frac{8}{7}​​
49x + 56 = 48x + 64
x = 8
Calculate the present age of B:
6 × 8 = 48
Final Answer
So the correct answer is (a)

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