Question

Forty years hence Ram will become equal to the square of what his age was $50$ years ago. Then Ram's present age is

• A. $64$
• B. $60$
• C. $50$
• D. $65$

Answer 1

The correct option is C $50$

Let age of Ram is x years
So age before $40$ years $=x-40$
And age after $50$ years $=x+50$
As per question Age before $40$ years is square of age after $50$ years
Then $x+50=(x-40{)}^2$
Or $x+50=x^2-80x+1600$
Or $x^2-80x+1600-x+50=0$
Or $x^2-81x+1550=0$
Or $x^2-31x-50x+1550=0$
Or $x(x-31)-50(x-31)=0$
Or $(x-31)(x-50)=0$
Then $x=31orx=50$
but $31$ is not Ram's age
SO Ram's age is $50$ years