173,659 views
15 votes
15 votes
Three consecutive integers sum to 6. What is the least of these integers?

User TWood
by
2.6k points

1 Answer

13 votes
13 votes

Answer:

The least of the three integers is 1.

Explanation:

Hi there!

Let x be equal to the least of these integers.

Let x+1 and x+2 be the next consecutive integers.

We're given that these integers have a sum os 6.

We can use these to construct an equation:


(x)+(x+1)+(x+2)=6

Combine like terms:


x+x+1+x+2=6\\x+x+x+1+2=6\\3x+3=6\\3x=3\\x=1

Therefore, the least of these integers is 1.

The other two integers would be 2 and 3.

I hope this helps!

User MgSam
by
2.8k points