# One year ago, the ratio of the age (in years) of A to that of B was 4

| One year ago, the ratio of the age (in years) of A to that of B was 4 : 3. The ratio of their respective ages. 3 years from now, will be 6 : 5. What will be the ratio of respective ages of A and B 9 years from now?

A. 8 : 7

B. 9 : 8

C. 10 : 9

D. 7 : 6

### Right Answer is: B

#### SOLUTION

Let the age of A and B before one year are 4x and 3x respectively.

A. T. Q.

(4x+3+1)/(3x+3+1) = 6/5

20x + 20 = 18x + 24

2x = 4

x = 2

Present age of A = 4x + 1 = 9 years

Present age of B = 3x + 1 = 7 years

Required age ratio after 9 years –

A/B = (9+9)/(7+9) = 18/16

A/B = 9/8

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One year ago, the ratio of the age (in years) of A to that of B was 4