Question

Mrs. Joseph is $27$ years older than her daughter Bindu. After $8$ years she will be twice as old as Bindu. Find their present age.

Answer 1

Let the age of Bindu be $x$ years.

Therefore, age of Mrs. Joseph will be $x+27$ years.

After $8$ years, we have

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

$\Rightarrow x+35=2x+16$

$\Rightarrow 2x-x=35-16$

$\Rightarrow x=19$

Age of Bindu is $19$ years.

Now, age of Mrs. Josepph will be $x+27=19+27=46$ years.