Question

The ages of A and B are in the ratio 8:3. Six year hence their ages will be in the ratio 9:4 the percent ages .​

Answer 1

Answer :-

Let the age of A be 8x

Age of B = 3x

After 6 years -

Age of A = 8x + 6

Age of B = 3x + 6

According to the question :-

$\sf 8x + 6 : 3x + 6 = 9 : 4$

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

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

$\sf = 32x + 24 = 27x + 54$

$\sf = 32x - 27x = 54 - 24$

$\sf = 5x = 30$

$\sf = x = 6$

Age of A = 6 × 8 = 48 years

Age of A = 6 × 8 = 48 years Age of B = 6 × 3 = 18 years