Question

After 24 years, I shall be 3 times as old as I was 4
years ago. Find my present age:
​

Answer 1

$\bf \: \underline{Given} :$ ↴

$\sf \: Age \: after \: 24 \: years = 3 \times (Age \: 4 \: years \: ago)$

$\bf \: \underline{To \: Find} :$ ↴

$\sf \: We \: have \: to \: find \: the \: Present \: age.$

$\bf \: \underline{Assumption} :$ ↴

$\sf \: Let \: the \: present \: age \: be \: x.$

$\bf \: \underline{\underline{Solution}}$

$\sf \: According \: to \: the \: question,$

$\sf \implies \: x + 24 = 3(x - 4)$

$\sf \implies \:x + 24 = 3x - 12$

$\sf \implies \:x - 3x = - 12 - 24$

$\sf \implies \:- 2x = - 36$

$\sf \implies \:2x = 36$

$\sf \implies \:x = \dfrac{36}{2}$

$\sf \implies \:x = 18$

$\underline{ \boxed{ \pink{\sf \: Therefore, \: the \: present \: age \: is \: 18 \: Years.}}}$

________________________________

$\sf \: \underline{Let's \: verify \: our \: answer} :$

$\sf \underline{ \: x + 24 = 3(x - 4)}$

$\bf \:{ LHS } \sf \: {= x + 24 }$

$\implies \sf \: 18 + 24$

$\implies \sf \: 42$

$\bf \: {RHS } \: \sf{= 3 (x - 4)}$

$\bf \: \implies \sf{ 3 (18 - 4)}$

$\bf \: \implies \sf 3 \times 14$

$\sf \: \implies 42$

$\large \sf \: LHS = RHS$

$\bf \: Hence \: Verified\: !$