Question

When the smallest of three consecutive odd integers is added to four times the largest, it...

When the smallest of three consecutive odd integers is added to four times the largest, it produces a result 729 more than four times the middle integer. Find the numbers and check your answer.

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Homework Answers

Answer #1

Let the integers be represented by x, x+2 and x + 4.

Then,

x + 4(x+4) = 729 + 4(x+2)

So,

x + 4x + 16 = 729 + 4x + 8

So,

x = 721.

So,

the numbers are:

721, 723, 725

CHECK:

smallest = 721

Four times the largest = 4 X 725 = 2900

These two are added.

Thus, we get:

721 + 2900 = 3621         (1)

Four times the middle integer = 4 X 723 = 2892

729 more than the above number = 729 + 2892 = 3621                (2)
(1) & (2) both are = 3621.

So, this is checked.

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