Question

Question #44f31

Answer 1

The integers are `19,20,21,22`

Explanation:

Let.... the second consecutive integer be `x`
Then the first integer would be `x-1`
The third integer would be `x+1`
Then.... the fourth integer would be `x+2`

Now the first and the fourth integer add up to `41`

Jot it down in one equation
`x-1+x+2=41`

Solve
`2x+1=41`

Transfer 1
`2x=40`

Divide by 2
`x=40/2`

`color(red)(x=20" "` this is the second integer
Then...
The first integer is `color(red)(x-1rArr20-1rArr19`
Then the third integer would be `color(red)(x+1rArr20+1rArr21`
Then the fourth integer will be `color(red)(x+2rArr20+2rArr22`