Question

ratio between the present age of a:b is 7:8 if age of A is 56 years find the age of B

Answer 1

$\textbf{Solution:}$

Given,

Ratio of ages of A : B = 7 : 8
Then,

$\frac{A}{B} = \frac{7}{8}$

Now,

Age of A = 56 years [Given]

$\frac{A}{B} = \frac{7}{8} \\ \\ \frac{ 56}{B} = \frac{7}{8} \\ \\ 7B = 56 \times 8 \\ \\ B = \frac{56 \times 8}{7} \\ \\ B = 8 \times 8 \\ B = 64$

Therefore, the age of B is $\bold{\underline{\ 64 years }}$.

$\textbf{Thank you}$