Integers Algebra 2

Question

Find three consecutive integers such that five times the sum of the first and -4 is 35 less than the sum of the second and third. Write the integers in order from least to gratest.

Answer 1

Since the integers are consecutive, they can be expressed as x, x+1, and x+2, with x being the smallest.

So, 5(x - 4) = (x + 1 + x + 2) - 35

5x - 20 = 2x - 32

3x = -12

x = -4

The integers are -4, -3, and -2.