Question

Two times the smaller of two consecutive integers is equal to 2 more than the larger. What is the LARGER integer?

Answer 1

The larger integer is
`4`.

Explanation:

Given: Two times the smaller of two consecutive integers is equal to
`2` more than the larger.

To find: The larger integer.

Solution:

Let the two consecutive integers be
`x` and
`x+1`, where the smaller integer is
`x` and larger integer is
`x+1`.

Now, according to question.

Two times the smaller integer
`=`
`2` more than the larger integer.

`\implies 2x=x+1+2`

`\implies 2x-x=3`

`\implies x=3`

So, the smaller integer is
`3`, and the larger integer is
`3+1=4.`

Hence, the larger integer is
`4.`