Question

Two numbers are in the ratio of 5:6.When 2 is added to the first and 3 is added to the second, they are in the ratio of 4:5. Find the numbers.

Answer 1

$\textbf{Solution :}$

Let the first number be $\textbf{5x}$


So, the second number be $\textbf{6x}$

A.T.Q.

“2 is added to first no.
& 3 is added to second no. = 4:5 ”

$\frac{5x + 2}{6x + 3} = \frac{4}{5} \\ = > 5(5x + 2) = 4(6x + 3) \\ = > 25x + 10 = 24x + 12 \\ = > 25x - 24x = 12 - 10 \\ = > x = 2$

Therefore,

First number = 5x
= 5×2
= $\textbf{10}$

Second number = 6x
= 6×2
= $\textbf{12}$

$\boxed{Hope\:it\:helps\:you}$

Answer 2

10&12 is the answar to question