Question

Three consecutive integers have a sum of 129. Find the integers. Thank you

Answer 1

42,43,44

Explanation:

Lets solve this equation using algebra. Think about it: what does consecutive integers mean? It means numbers in a continuous order. For example, this is a consecutive order: 1, 2, 3, 4, 5.

Lets use the variable "x" as the smallest number. The next number (because it is consecutive) will be x+1. The next will be x+2.

Our equation.

x+x+1+x+2

Combine like terms.

3x+3=129

Subtract 3 on both sides.

3x + 3 - 3 = 129 - 3

Combine like terms.

3x = 126

Divide by 3 on both sides.

`(3x)/(3) = (126)/(3)`

Simplify.

x = 42

The smallest of them is 42. using consecutive order (+1 sequence), the other numbers are 43 and 44.