Let the ten's place digit and unit's place digit be x and x + 2. Then, number = 10x + x + 2 = 11x + 2; Sum of the digits = x + x + 2 = 2x + 2 Now, (11x+2)(2x+2)=144 ⇒22x2+26x+4=144 ⇒11x2+13x−70=0 ⇒(x−2)(11x+35)=0 Hence, x=2 ∴ Number = 10 × 2 + 2 + 2 = 24