Question

Sreeja is ten years younger than Rahul . Five years ago, Rahul was three times as old as Sreeja. Then what is the present age of Rahul?

Answer 1

Step-by-step explanation:

$\bf{\underline{\underline\red{Given:-}}}$

• Sreeja is ten years younger than Rahul.

• Five years ago , Rahul is three times as old as Sreeja.

$\bf{\underline{\underline\blue{To\:Find:-}}}$

• The present age of Rahul.

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

Sreeja is ten years younger than Rahul.

Let the present age of age of Rahul be x

And Present age of Sreeja = (x - 10)

Five years ago:-

Age of Rahul = x - 5

Age of Sreeja

= (x - 10) - 5

= x - 10 - 5

= x - 15.

Rahul is three times as old as Sreeja.

$\rm \implies(x - 5) = 3(x - 15)$

$\rm \implies x - 5= 3x - 45$

$\rm \implies x - 3x= - 45 + 5$

$\rm \implies - 2x= - 40$

$\rm \implies x= \dfrac{ - 40}{ - 2}$

$\rm \implies x= 20$

Present age of Rahul = x = 20years

Present age of Sreeja = x-10 = 10years