Question

Mona's father is thrice as old as Mona. After 12 years, his age will be twice that of his daughter.Find their present ages.​

Answer 1

$\huge{\underline {\underline {\mathfrak{Question:-}}}}$

Mona's father is thrice as old as Mona. After 12 years, his age will be twice that of his daughter.Find their present ages.

$\huge{\underline {\underline {\mathfrak{Solution:-}}}}$

$Let \: Mona's \: present \: age \: be \: x \: years.$

$Then, \: her \: father's \: present \: age \: = \: 3x \: years.$

$Mona's \: age \: after \: 12 \: years \: = (x + 12) \: years.$

$Mona's \: father's \: age \: after \: 12 \: years \: = (3x + 12) \: years.$

$∴3x + 12 = 2(x + 12)$

$→3x + 12 = 2x + 24$

$→3x - 2x = 24 - 12$

$→x = 12$

$∴Mona's \: present \: age \: = 12 \: years.$

$And, \: her \: father's \: present \: age \: = (3 \times 12)years = 36 \: years.$

$\huge{\red{\ddot{\smile}}}$ SOLVED..✔✔