Question

Q.16 Bina is eight years older than Smitha. 5 years ago, Bina was thrice as old as Smitha.
Currently, how old is Bina and Smitha now?
​

Answer 1

$\LARGE\mathfrak{\pink{Solution:-}}$

$\large\mathbb{\orange{GIVEN:-}}$

• 16 Bina is eight years older than Smitha.
• 5 years ago, Bina was thrice as old as Smitha.

$\large\mathbb{\purple{TO \:FIND:-}}$

• Current age of Bina and Smitha.

$\large\mathbb{\blue{ASSUMPTION:-}}$

Let, the age of Smitha be x years

$\therefore$the age of Bina is (x + 8) years.

5 years ago;

Age of Smitha was (x - 5) years

and age of Bina was (x + 8 - 5) years.

$\large\mathbb{\red{ACCORDING \:TO\: THE\: QUESTION:-}}$

$3(x - 5) = x + 8 - 5 \\ \\ \implies \: 3x - 15 = x + 3\\ \\ \implies \:3x - x = 3 + 15\\ \\ \implies \:2x = 18\\ \\ \implies \:x = \cancel\frac{18}{2} \\ \\ \implies \:x = 9$

Present age of Smitha = x = 9 years.

Present age of Bina = (x + 8) = 9 + 8 = 17 years.