Question

Fifteen years later, shreya will be four times as old as she was fifteen years ago. how old is she now?

Answer 1

Let us assume, x is a present age of Shreya.

Given:

x + 15 = 4 (x – 15)

x + 15 = 4x – 60

3x = 75

x = 25 years

Present age of Shreya is 25 years.

Answer 2

$\textbf{\underline{Answer :- }}$

The present age of Shreya is 25 years.

$\textsf{\underline{Given :-}}$

15 years later : Her age will be 4 times of her age 15 years ago.

$\textsf{\underline{To find:-}}$

Shreya's present age.

$\textsf{\underline{Solution :-}}$

Consider Shreya's age as x

$\tt{\implies \: x + 15 = 4(x - 15)}$

$\tt{\implies \: x + 15 = 4x - 60}$

$\tt{\implies \: x - 4x = - 60 - 15}$

$\tt{\implies - 3x = - 75}$

$\tt{\implies{\cancel{ - }} \: 3x = {\cancel{ - }} \: 75}$

$\tt{\implies \: 3x = 75}$

$\tt{\implies \: x = \dfrac{75}{3} }$

$\tt{\implies \: x = 25}$

Shreya's present age is 25

$\textbf{\underline{Verification :-}}$

$\tt{\implies25 + 15 = 4(25 - 15)}$

$\tt{\implies40 = 100 - 60}$

$\tt{\implies40 = 40}$

$\therefore$LHS = RHS

$\therefore$The present age of Shreya is 25 years.