Question

two numbers are in the ratio 3:5 if 7 is add to each other then the ratio becomes 11:16 find the number​

Answer 1

$\huge† \huge \bold{\: \pmb {\red{ Answer }} }$

Let the two number be 3x and 5x.

A/Q

$\sf \: \frac{3x + 7}{5x + 7} = \frac{11}{16} \\ \\ \sf \longrightarrow \: 55x + 77 = 48x + 112 \\ \\ \sf \longrightarrow \:55x - 48x = 112 - 77 \\ \\ \sf \longrightarrow \:7x = 35 \\ \\ \sf \longrightarrow \:x = \cancel \frac{35}{7} \\ \\ \sf \longrightarrow \red{x = 5}$

Hence

The two number: 3x = 3(5) = 15

5x = 5(5) = 25

Answer 2

$\begin{gathered} \bf \: \frac{3x + 7}{5x + 7} = \frac{11}{16} \\ \\ \sf \longrightarrow \: 55x + 77 = 48x + 112 \\ \\ \sf \longrightarrow \:55x - 48x = 112 - 77 \\ \\ \sf \longrightarrow \:7x = 35 \\ \\ \sf \longrightarrow \:x = \cancel \frac{35}{7} \\ \\ \sf \longrightarrow \pink{x = 5}\end{gathered}</p><p>A/Q</p><p>Let the two number be 3x and 5x.$