NIMCET 2014 Question Paper with solutions

Let the present age of daughter = x yr
and present age of mother = y yr
According to the question,
x + y = 63 ... (i)
4yr back,
Daughter's age = (x - 4) yr
Mother's age = (y - 4) yr
∴ 4(x - 4) = y - 4
4x -16 = y - 4
4x - y = 12 .... (ii)
From Eqs. (i) and (ii),
we get x + y = 63
⇒ 4x-y = 12
∴ x = 15yr
x + y = 63
⇒ 15 + y = 63
⇒ y = 48 yr
Hence, present age of mother = 48 yr.