In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is:	Pick one: A) 24 B) 26 C) 42 D) 46 E) 52
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) + (  + 2)= 
<gadget id="calculator">+ (  + 2)</gadget>
<output>2</output>
2x + 2   (11x + 2)(2x + 2)= 144   2x2 + 26x - 140 = 0   (x - 2)(11x + 35) = 0   x = 2   Hence, required number = 11x + 2 = 24.   24NSWER IS 24
<result>A</result>
In a two-digit number, if it is known that its unit's digit exceeds its ten's digit by 2 and that the product of the given number and the sum of its digits is equal to 144, then the number is: