Two consecutive integers have a sum of 51. find the integers

First represent your two consecutive integers as follows.

X ⇒ first integer

X + 1 ⇒ second integer

Since their sum is 51, our equation reads x + x + 1 = 51.

Now combine like terms to get 2x + 1 = 51.

Now subtract 1 to isolate the 2x and this gives us 2x = 50.

Since 2 is being multiplied by x, to get x by itself, we need

to divide by 2 on both sides of the equation to get x = 25.

If x = 25, then x + 1 would be 25 + 1 or 26.

So our two consecutive integers are 25 and 26.