Question

The mean of four consecutive even numbers is 15

Answer 1

I suppose you have to find the four numbers. If
`x` is the smallest of the four, then the next three numbers are
`x+2`,
`x+4`, and
`x+6`. The mean is 15, so


`\frac{x+(x+2)+(x+4)+(x+6)}4=\frac{4x+12}4=15`

`\implies x+3=15`

`\implies x=12`


So the four numbers are 12, 14, 16, and 18.