The difference between two numbers is 42. If one-half of the larger number is three more than twice the smaller number, what are the two numbers?
A) -12 and -54
B) 12 and 54
C) 16.0 and 58.0
D) 11 and 31
E) -12.5 and 29.5

Question

Quizplus · Accepted Answer

Let the larger number be x and the smaller number be y. We have two equations: x - y = 42 and (1/2)x = 2y + 3. Solving these equations simultaneously gives x = 54 and y = 12.

The Difference Between Two Numbers Is 42