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Question

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


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Solution

Step- 1: Establish the equation:

Let the first odd integer be x.

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

Given that the sum of the integers is 36.

Then, we will write:

x+(x+2)=36

Step- 2: Solve the equation:

Now we will simplify and solve the equation.

x+x+2=36

2x+2=36

2x=36-2

2x=34

x=342

x=17

Step- 3: Calculate the next integer:

Hence the next consecutive odd integer is,

x+2=17+2

=19

Hence, the required consecutive odd integers are 17 and 19.


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