How do you find two consecutive odd integers whose sum is 36?

We have to find the two consecutive odd integers whose sum is 36.

Solution

Let the first odd integer be x.

Then, the next consecutive integer is (x+2).

Given that the sum of the integers is 36.

Then, we will write:

x + (x+2)= 36

Now we will simplify and solve the equation.

= x+ x + 2 = 36

= 2x + 2 = 36

now we will solve for x.

Subtract 2 from both sides.

= 2x = 36-2 = 34

= 2x = 34

now we will divide by 2

= x = 17

Then, the next consecutive integer is 17+2 = 19.

Then, the integers are: 17 and 19