Question

Find two consecutive integers whose sum is 151.

Answer 1

Let the consecutive integers be x , x + 1)

The sum of the consecutive integers is 151, i.e

`x+(x+1)=151`

Open the bracket and solve for x

`\begin{gathered} x+x+1=151 \\ 2x+1=151 \\ \text{Collect like terms} \\ 2x=151-1 \\ 2x=150 \\ \text{Divide both sides by 2} \\ (2x)/(2)=(150)/(2) \\ x=75 \end{gathered}`

If x is 75, then the consecutive integer will be

`x+1=75+1=76`

Hence, the consecutive integers, x, (x + 1) are 75 and 76