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:  Choose the correct option:
A) 26
B) 24
C) 25
D) 27
E) 30
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.   ANSWER 24
<result>B</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: