Question

How do you find two consecutive integers such that the sum of the first number and 3 times the second is 55?

Answer 1

The two consecutive integers are 13 and 14.

Explanation:

Let the first integer be `i`.

Then the second integer by definition would be `i + 1` because these are consecutive integers.

You problem can then be stated as:

`i + 3(i + 1) = 55`

Solving for `i` gives:

`i + 3I + 3 = 55`

`4i = 52`

`i = 13`

and therefore
`i + 1 = 14`

`3 * 14 = 42`

`42 + 13 = 55`