One number is six more than twice another. If their sum is decreased by ten, the result is eleven. Find the numbers.
A) -4, 7
B) 5, 16
C) 1, 19
D) 8, -7
E) 8, 7

Question

Quizplus · Accepted Answer

Let the numbers be x and y, where y = 2x + 6. Their sum is x + y = x + (2x + 6) = 3x + 6. Decreasing this sum by 10 gives 3x + 6 - 10 = 11. Solving 3x - 4 = 11 gives x = 5. Then y = 2(5) + 6 = 16. Thus, the numbers are 5 and 16.

One Number Is Six More Than Twice Another