Given a two-digit number, the unit's digit exceeds its ten's digit by 5 and the product of the given number and the sum of its digits is equal to 90, which of the options is the number?
Options:
(A) 27
(B) 16
(C) 38
(D) 61
(E) 83 Let's think first. Stream of consciousness:
Using the elimination method the option that fits this description is 27
7-2 = 5 (unit's digit that exceeds its ten's digit by 3)
27*9 = 243 (the product of the given number and the sum of its digits is equal to 175)
So, the answer is (A).