Question

What number must be added to each term of the ratio $9:16$ to make the ratio $2:3$?

Answer 1

Let the number be added to the each term be $x$

According to the question

$\frac{9+x}{16+x}=\frac{2}{3}$

$27+3x=32+2x$

$3x-2x=32-27$

$x=5$

Therefore, 5 to be added in each term of the ratio 9:16 to make the ratio 2:3.