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Popular >

Find three consecutive odd numbers whose sum is 64

Solution

Find three consecutive odd numbers whose sum is 64

Solution

The numbers : 19 \frac{1}{3}, 21 \frac{1}{3}, 23 \frac{1}{3}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 2

Consecutive number 2 : x + 4

A.T.Q.:

x + x + 2 + x + 4 = 64

Solve

x + x + 2 + x + 4 = 64 : x = \frac{58}{3}

x + 2 = \frac{58}{3} + 2 = \frac{64}{3}

x + 4 = \frac{58}{3} + 4 = \frac{70}{3}

Convert improper fractions to mixed numbers:

\frac{58}{3} = 19 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{64}{3} = 21 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{70}{3} = 23 \frac{1}{3}

The numbers : 19 \frac{1}{3}, 21 \frac{1}{3}, 23 \frac{1}{3}

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