Question

If the first of three consecutive integers is subtracted from 138, the result is the sum of the second and third. What are the integers?

Answer 1

Answer:

45, 46, 47

Step-by-step explanation:

n, n + 1, n + 2 - three consecutive integers

The equation:

138 - n = (n + 1) + (n + 2)

138 - n = n + 1 + n + 2                 combile like terms

138 - n = 2n + 3           subtract 138 from both sides

-n = 2n - 135               subtract 2n from both sides

-3n = -135            divide both sides by (-3)

n = 45

n + 1 = 46

n + 2 = 47