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Popular Word Problems >

sum of three consecutive numbers are is 248 find the numbers

Solution

sequence sum

o f t h ree co n sec u t i v e n u mb ers a re i s 248 f in d t h e n u mb ers

Solution

The numbers : 81 \frac{2}{3}, 82 \frac{2}{3}, 83 \frac{2}{3}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number 1 : x + 1

Consecutive number 2 : x + 2

A.T.Q.:

x + x + 1 + x + 2 = 248

Solve

x + x + 1 + x + 2 = 248 : x = \frac{245}{3}

x + 1 = \frac{245}{3} + 1 = \frac{248}{3}

x + 2 = \frac{245}{3} + 2 = \frac{251}{3}

Convert improper fractions to mixed numbers:

\frac{245}{3} = 81 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{248}{3} = 82 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{251}{3} = 83 \frac{2}{3}

The numbers : 81 \frac{2}{3}, 82 \frac{2}{3}, 83 \frac{2}{3}

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