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The ratio of father’s age to his son’s age is 8 : 5. The product of their age is 1440. The ratio of their ages after 6 years will be

The ratio of father’s age to his son’s age is 8 : 5. The product of their age is 1440. The ratio of their ages after 6 years will be
1). 2 : 1
2). 3 : 2
3). 11 : 6
4). 13 : 9

This Question has 1 answers.

Given, ratio of father’s age to his son’s age is $8 : 5.$

Let their ages be $8x$ and $5x$ respectively.

Given, product of their age is $1440.$

$8x × 5x = 1440$

$x2 = 36$

$x = 6$

Father’s present age $= 8 × 6 = 48$

Son’s present age $= 5 × 6 = 30$

Ratio of their ages after 6 years $(= \frac{{48 + 6}}{{30 + 6}} = \frac{{54}}{{36}} = 3\;:2\;)$

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