Question

The present ages of A and B are in the ratio 8:6. Four years later, their ages will be in the ratio 6:5. What are their present, ages?

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Answer 1

Let , the present age's of A and B By 8x and 6x

After 4 years ,

The age's of A and B will be 8x + 4 and 6x + 4

It is given that , the ratio of age's of A and B after four years is 6 : 5

Thus ,

$\sf \mapsto \frac{6}{5} = \frac{ (8x + 4)}{(6x + 4)} \\ \\ \sf \mapsto</p><p>36x + 24 = 40x + 20 \\ \\ \sf \mapsto </p><p>4x = 4 \\ \\ \sf \mapsto</p><p>x = 1$

Hence , the present age's of A and B is 8 and 6