Question

How do you find four consecutive integers that equal the sum of 144?

Answer 1

No such integers exist.

Explanation:

Suppose first of the consecutive integers is 'x', then other consecutive integers would be 'x+1', 'x+2' and 'x+3'. Their sum would be x+x+1+x+2+x+3= 4x+6

Now equating 4x+6= 144 would lead us to a value of x, which is not an integer. It can thus be concluded that there no such four consecutive integers whose sum is 144.