Question

The ages of A and B are in ratio of 8:3 six years hence the ages will be in ratio of 9:4 .Find the present ages of A and B
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Answer 1

Answer:

$small \blue {Let's \: the \: ages \: of \: A \: and \: B \: be \: a}Let </p><p>′</p><p> stheagesofAandBbea</p><p></p><p>\small \blue { After \: six \: years : }$

A age = 8x

B age = 3x

After 6 years,

$\frac{8x + 6}{3x + 6} = \frac{9}{4}$

$4(8x + 6) = 9(3x + 6)$

$32x + 24 = 27x + 54$

$32x - 27x = 54 - 24$

$5x = 30$

$x = \frac{30}{5}$

$x = 6$

Therefore;

A present age ➡️ 48year

B present age ➡️ 18 year

ANSWER ⬆️⬆️⬆️

Answer 2

Refer the attached file ↑