Question

The sum of four consecutive integers is 74. What is the first integer?

Answer 1

The integers are :
`17 , 18 , 19` and `20`.

Explanation:

Let us denote the four consecutive integers as:
`x, (x+1) , (x+2)` and `(x+3)`

As per the data provided:
`x + x+1 + x+2 + x+3 = 74`

`4x + 6 = 74`

`4x = 74 - 6`

`4x = 68`

`x = 68 / 4`

`x = 17`

The integers are as follows:

• `x = color(blue)(17`
• `x+1 = color(blue)(18`
• `x+2 = color(blue)(19`
• `x+3 = color(blue)(20`