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Popular Word Problems >

The sum of two consecutive numbers is 54, what are the numbers

Solution

T h e s u m o f tw o co n sec u t i v e n u mb ers i s 54, w ha t a re t h e n u mb ers

Solution

The numbers : 26 \frac{1}{2}, 27 \frac{1}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x + x + 1 = 54

Solve

x + x + 1 = 54 : x = \frac{53}{2}

x + 1 = \frac{53}{2} + 1 = \frac{55}{2}

Convert improper fractions to mixed numbers:

\frac{53}{2} = 26 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{55}{2} = 27 \frac{1}{2}

The numbers : 26 \frac{1}{2}, 27 \frac{1}{2}

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