Question

Five years ago age of Sunita was thrice the age of Vineeta. After 10 years Sunita's age of Vinita, what is the present age of Sunita?

• A. $50$ years
• B. $20$ years
• C. $70$ years
• D. $30$ years

Answer 1

The correct option is A $50$ years

Let the present age of Sunita be $x$ years and vineeta be $y$ years
5 years ago
$(x-5(=3(y-5)$
$x=3y-15+5$
$x=3y-\mathrm{10...}\left(1\right)$
10 years hence
$(x+10)=2(y+10)$
$x=2y+\mathrm{10...}\left(2\right)$
By (1) and (2)
$3y-10=24+10$
$y=20[x=3\times 20-10$
$x=50$