We have to find the two consecutive odd integers whose sum is 116.
Let the first odd integer be x.
Then, the next consecutive integer is (x+2).
Given that the sum of the integers is 116.
Then, we will write:
x + (x+2)= 116
Now we will simplify and solve the equation.
= x+ x + 2 = 116
= 2x + 2 = 116
now we will solve for x.
Subtract 2 from both sides.
= 2x = 116-2 = 114
= 2x = 114
now we will divide by 2.
= x = 57
Then, the next consecutive integer is 57+2 = 59.
Then, the integers are: 57 and 59