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Popular Word Problems >

the sum of 3 consecutive numbers is772. What is the smallest of the numbers

Solution

t h e s u m o f 3 co n sec u t i v e n u mb ers i s 772. Wha t i s t h e s ma ll es t o f t h e n u mb ers

Solution

The smallest number : 256 \frac{1}{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 = 772

Solve

x + x + 1 + x + 2 = 772 : x = \frac{769}{3}

x + 1 = \frac{769}{3} + 1 = \frac{772}{3}

x + 2 = \frac{769}{3} + 2 = \frac{775}{3}

Convert improper fractions to mixed numbers:

\frac{769}{3} = 256 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{772}{3} = 257 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{775}{3} = 258 \frac{1}{3}

Select the smallest solution:

256 \frac{1}{3}

The smallest number : 256 \frac{1}{3}

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