The larger of two consecutive integers is 7 greater than twice the smaller. Find the integers.

A) 4,5
B) -8,-9
C) -5,-6

1 answer

integer 1 = a
integer 2 = b

b-a = 1 (b is one more than a)
b-7 = 2*a (b is seven more than two times a)

a = b-1
b-7 = 2*(b-1)
b-7 = 2b-2
b = -5

so a should be -6

answer is C)