Wednesday, October 23, 2013

The sum of 3 consecutive odd integers is 87. What are the consecutive integers?

We are asked to find 3 consecutive odd integers that have
a sum of 87.


=>  let x = the first odd
integer


=>  let x + 2 = the second odd
integer


=>  let x + 4 = the third odd
integer


Write the equation to
solve.


=> x + x + 2 + x + 4 =
87


=> 3x + 6 =
87


=> 3x = 81


=>
x = 27  (first odd integer)


=> x + 2 = 29  (second
odd integer)


=> x + 4 = 31 (third odd
integer)


The consecutive odd integers with a
sum of 87 are the following:  27, 29, 31.

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