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The ratio of the present ages of two persons A and B is 4:3. If 4 years ago the ratio of their ages was 2:1, what is the present age of A and B in years respectively?

A8, 6 ✓ Correct
B9, 7
C12, 9
D9, 12
Correct answer: (A) 8, 6
Explanation

A is 8 years old and B is 6 years old.

Present ages are 4x and 3x for the ratio 4:3.

Four years ago: (4x - 4)/(3x - 4) = 2/1.

4x - 4 = 6x - 8, so 2x = 4 and x = 2.

Present ages = 4 x 2 = 8 and 3 x 2 = 6.

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