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