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Popular Word Problems >

The sum of 6 consecutive numbers is 204. What are the numbers

Solution

T h e s u m o f 6 co n sec u t i v e n u mb ers i s 204. Wha t a re t h e n u mb ers

Solution

The numbers : 31 \frac{1}{2}, 32 \frac{1}{2}, 33 \frac{1}{2}, 34 \frac{1}{2}, 35 \frac{1}{2}, 36 \frac{1}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

Consecutive number 3 : x + 3

Consecutive number 4 : x + 4

Consecutive number 5 : x + 5

A.T.Q.:

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 204

Solve

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 204 : x = \frac{63}{2}

x + 1 = \frac{63}{2} + 1 = \frac{65}{2}

x + 2 = \frac{63}{2} + 2 = \frac{67}{2}

x + 3 = \frac{63}{2} + 3 = \frac{69}{2}

x + 4 = \frac{63}{2} + 4 = \frac{71}{2}

x + 5 = \frac{63}{2} + 5 = \frac{73}{2}

Convert improper fractions to mixed numbers:

\frac{63}{2} = 31 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{65}{2} = 32 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{67}{2} = 33 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{69}{2} = 34 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{71}{2} = 35 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{73}{2} = 36 \frac{1}{2}

The numbers : 31 \frac{1}{2}, 32 \frac{1}{2}, 33 \frac{1}{2}, 34 \frac{1}{2}, 35 \frac{1}{2}, 36 \frac{1}{2}

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