Question

Mrs. Goel is $27$ years older than her daughter Rekha. After $8$ years she will be twice as old as Rekha. Find their present ages.

Answer 1

Let Rekha's present age be $x$

Mrs. Goel's present age $=x+27$

After 8 years,

Age of Rekha$=x+8$

Age of Mrs. Goel $=x+27+8$

According to the question,

$2(x+8)=x+27+8$

$2x+16=x+35$

$x=19$

Therefore, Rekha's age=$19$ years

and Mrs. Goel=$46$ years.