Question

present ages of a and B are in the ratio of 5 :3 after 7 years their ages will be in the ratio 3:2 find the present age of a​

Answer 1

Step-by-step explanation:

$let \: present \: ages \: of \: a \: and \: b \: be \: 5x \: and \: 3x \\ after \: 7 \: years \: age \: of \: a = 5x + 7 \\ after \: 7 \: years \: age \: of \: b = 3x + 7 \\ atq \\ \frac{5x + 7}{3x + 7} = \frac{3}{2} \\ 2(5x + 7) = 3(3x + 7) \\ 10x + 14 = 9x + 21 \\ 10x - 9x = 21 - 14 \\ x = 7$

$present \: age \: of \: a = 5x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 5(7) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 35 \: years$