Question

Mrs Jain is 27 years older than her daughter Nilu. After 8 years she will be twice as old as Nilu. Find their present ages?

Answer 1

Let the present age of Nilu be x years
Therefore the present age of Nilu’s mother = (x + 27) years
So, after 8 years,
Nilu’s age = (x + 8), and Mrs Jain’s age = (x + 27 + 8) = (x + 35) years
$\Rightarrow x+35=2(x+8)$
Expanding the brackets, we get
$\Rightarrow x+35=2x+16$
Transposing x to RHS and 16 to LHS, we get
$\Rightarrow 35–16=2x–x$
$\Rightarrow x=19$
So, the present age of Nilu = x = 19 years,