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Let the consecutive integers be x , x + 1)
The sum of the consecutive integers is 151, i.e
[tex]x+(x+1)=151[/tex]Open the bracket and solve for x
[tex]\begin{gathered} x+x+1=151 \\ 2x+1=151 \\ \text{Collect like terms} \\ 2x=151-1 \\ 2x=150 \\ \text{Divide both sides by 2} \\ \frac{2x}{2}=\frac{150}{2} \\ x=75 \end{gathered}[/tex]If x is 75, then the consecutive integer will be
[tex]x+1=75+1=76[/tex]Hence, the consecutive integers, x, (x + 1) are 75 and 76