Question

the age of asha and nirmal are in the ratio 5:6. five years from now their age will be 6:7. find their present age?​

Answer 1

Answer:

let age of asha be x and that of nirmal be y

so x:y=5:6

$\frac{x}{y} = \frac{5}{6} \\ x = \frac{5y}{6}$

after 5 years

$\frac{x + 5}{y + 5} = \frac{6}{7} \\ 7(x + 5) = 6(y + 5) \\ put \: value \: of \: x \\ 7( \frac{5y}{6} + 5) = 6y + 30 \\ \frac{35y}{6} + 35 = 6y + 30 \\ 35 - 30 = 6y - \frac{35y}{6} \\ 5 = \frac{36y - 35y}{6} \\ 5 = \frac{y}{6} \\ 5 \times 6 = y \\ 30 = y$

$x = \frac{5y}{6} \\ x = \frac{5 \times 30}{6} \\ x = 5 \times 5 \\ x = 25$

so age of asha is 25 years and that of nirmal is 30 years