Question

$10$ years ago, Chandravati's mother was $4$ times older than her daughter. After $10$ years, the mother will be twice older than the daughter. The present age of Chandravati is

• A. $5$ years
• B. $10$ years
• C. $20$ years
• D. $30$ years

Answer 1

Answer: (C)

$20$ years

Let age of Chandravati $=C$
Let age of her mother $=M$
Then, $M-10=4(C-10)$ or $M=4C-30$
and, $M+10=2(C+10)$ or $M=2C+10$
Thus, $4C-30=2C+10$
$2C=40$
$C=20$ years