Answer with Explanation:
Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
=> (11x + 2)(2x + 2) = 144
=> 22x2 + 26x - 140 = 0
=> 11x2 + 13x - 70 = 0
=> (x - 2)(11x + 35) = 0
=> x = 2
Hence, required number = 11x + 2 = 24.
Let the ten's digit be x.
Then, unit's digit = x + 2.
Number = 10x + (x + 2) = 11x + 2.
Sum of digits = x + (x + 2) = 2x + 2.
=> (11x + 2)(2x + 2) = 144
=> 22x2 + 26x - 140 = 0
=> 11x2 + 13x - 70 = 0
=> (x - 2)(11x + 35) = 0
=> x = 2
Hence, required number = 11x + 2 = 24.