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Popular Word Problems >

The sum of two consecutive numbers is 72 . 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 72 . Wha t a re t h e n u mb ers ?

Solution

The numbers : 35 \frac{1}{2}, 36 \frac{1}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x + x + 1 = 72

Solve

x + x + 1 = 72 : x = \frac{71}{2}

x + 1 = \frac{71}{2} + 1 = \frac{73}{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 : 35 \frac{1}{2}, 36 \frac{1}{2}

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