(1) 2 years ago, Piya’s age = x years ∴ Om’s age = 2x years ∴ Om’s present age = (2x + 2) years Piya’s present age = (x + 2) years According to the question,
2x+2+4
x+2+3
=
9
5
⇒
2x+6
x+5
=
9
5
⇒10x+30=9x+45 ⇒10x−9x=45−30 ⇒x=15 ∴ Om’s present age = (2x + 2) years = (2 × 15 + 2) years = 32 years