Question

There are 4 consecutive integers with a sum of 314. What is the greatest of these integers ?

Answer 1

The four consecutive integers are

"x" ; " x +1 " ; " x + 2 " ; " x + 3 "

The ecuation to use will be:

x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 314    solving

x + x + 1 + x + 2 + x + 3 = 314

4 x + 6 = 314

4x = 314 - 6

4x = 308

x = 308/4

x = 77

Calculating the gratest:

x + 3 = 77 + 3

x + 3 = 80

The gratest integer is 80