Question

A man's age is 32 years and his son's age is 5 years. In how many years
will the man's age be 4 times that of his son?​

Answer 1

Answer:

$\textbf\orange{Given, Man's age = 32 years} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \textbf\orange{\:Son's \: age = 5 years}$

$\textbf\orange{Let, \: after \: x \: years, \: the \: man's \: age \: will \: be \: 4times \: of \: his \: son's \: age.}$

$\textbf\orange{Man's age = (32+x) years} \\ \textbf\orange{Son's \: age = (5+x) years}$

$\textbf\orange{According to question,}$

$\textbf\orange{32 + x = 4(5 + x)} \\ \: \textbf\orange{ {⟹32 + x = 20 + 4x}} \\ \textbf\orange{⟹32 - 20 = 4x - x} \\ \textbf\orange{⟹12 = 3x} \\\textbf\orange{⟹4 = x }$

$\textbf\orange{∴ \: After \: 4 \: years, \: the \: man's \: age \: will \: be \: 4times \: of \: his \: son's \: age.}$