90.2k views
4 votes
What are the 3 consecutive integers of 135?

User Uria
by
7.0k points

2 Answers

3 votes
Let's say the first integer is n. the next two integers will be n+1 and n+2. If you add these three together you will get n+n+1+n+2, which is 3n+3
so,
3n+3=135
3n=132
n= 44
thus, the first integer is 44. the next two consecutive will thus be 45 and 46
to check: 44+45+46=135
and there you have your answer, hope I helped!
User Kristopher Johnson
by
7.4k points
3 votes

Three consecutive integers can be represented as followed.

X → first integer

X + 1 → second integer

X + 2 → third integer

Since the sum of our three consecutive integers is 135, we can set up an equation to represent this.

X + X + 1 + X + 2 = 135

-Simplify on the left-

3x + 3 = 135

-3 -3

3x = 132

÷3 ÷3 ← divide both sides by 3

X = 44

X + 1 = 45

X + 2 = 46

Therefore, the three consecutive integers are 44, 45, and 46.

User Jrharshath
by
7.9k points