Question

A father is 30 years older than his son. In 12 years, the man will be three times as old as his
son. Find their present ages.​

Answer 1

Answer:

52 approx is the age of th3

Answer 2

⠀ ☯ Let the present age of son be x.

⠀⠀⠀

$:\implies\sf Father's \: age = (x + 30) \ years$

⠀⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━⠀⠀

$\large\bf\underline{\bigstar\; According \ to \ Question\;:}$

⠀⠀⠀⠀After 12 years,

⠀⠀⠀⠀⠀⠀

• Father's age will be x + 42

• And son's age will be x + 12

$\\\\\\:\implies\sf 3(x+12) = x + 42\\\\\\:\implies\sf 3x + 36 = x + 42\\\\\\:\implies\sf 2x = 6\\\\\\:\implies\sf \: x \: = \cancel\dfrac{6}{2}\\\\\\:\implies{\underline{\boxed{\frak{\purple{x = 3}}}}}\;\bigstar$

⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, ⠀⠀

• Age of son = 3 years
• Age of father = 3 + 30 = 33 years

⠀⠀⠀⠀⠀⠀

$\therefore\:{\underline{\sf{Present \ age \ of \ son \ is \ {\textsf{\textbf{3 years.}}}}}}$⠀⠀⠀