Question

The sum of two consecutive integers is one less than three times the smaller integer. Find the two integers

Answer 1

Hello!

Let's represent these integers with L and s, for the large and small integers.

L=s+1

L+s=3s-1

Let's plug our L-value into the second equation and solve for s.

s+1+s=3s-1

We combine like terms.

2s+1=3s-1

We subtract 3s from both sides.

-s+1=-1

We subtract 1 from both sides.

-s=-2

We divide both sides by -1.

s=2

As they are consecutive numbers, the larger number would be 3.

Therefore, our integers are 2 and 3.

I hope this helps!

Answer 2

$n+n+1=3n-1\\\\ 2n+1=3n-1\\\\ 3n-2n=1+1\\\\ n=2\\ n+1=3$

2 and 3