In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number?  Answers.
A) 21  B) 22  C) 23  D) 24  E) 25
Let the 10's digit be x.Then the units digit will be x+2.   the number is 11x+2.   The sum of the digits will be 2x+2   (11x+2)(2x+2)=144   Solving the quadratic eqn we get x=2;so the number is 24.   ANSWER:24
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In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number?