Question

Present ages of Raj and Hari Aryan ratio 5 ratio 7 four years from now the ratio of their ages will be 3 ratio 4 find there present ages

Answer 1

Answer:

$let \: present \: ages \: of \: raj \: and \: hari \: be \: x \: and \: y \\ then \ \: \frac{x}{y} = \frac{5}{7} \\ x = \frac{5y}{7 } \\ four \: years \: before \: their \: ages \: would \: be \: (x - 4)and(y - 4) \\ \frac{(x - 4)}{(y - 4)} = \frac{3}{4 } \\ 4(x - 4) = 3(y - 4) \\ 4x - 16 = 3y - 12 \\ 4x - 3y = \: - 12 + 16 \\ 4( \frac{5y}{7} ) - 3y = 4 \\ \frac{20y}{7} - 3y = 4 \\ \frac{(20y - 21y)}{7} = 4 \\ - y = 28 \\ y = \: - 28$