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Popular Word Problems >

The sum of 3 consecutive even numbers is 182

Solution

T h e s u m o f 3 co n sec u t i v e e v e n n u mb ers i s 182

Solution

The numbers : 58 \frac{2}{3}, 60 \frac{2}{3}, 62 \frac{2}{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 = 182

Solve

x + x + 2 + x + 4 = 182 : x = \frac{176}{3}

x + 2 = \frac{176}{3} + 2 = \frac{182}{3}

x + 4 = \frac{176}{3} + 4 = \frac{188}{3}

Convert improper fractions to mixed numbers:

\frac{176}{3} = 58 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{182}{3} = 60 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{188}{3} = 62 \frac{2}{3}

The numbers : 58 \frac{2}{3}, 60 \frac{2}{3}, 62 \frac{2}{3}

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