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Popular Word Problems >

the sum of two consecutive numbers is 46 and the smaller is x

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 46 an d t h e s ma ll er i s x

Solution

The numbers : \frac{1}{44}, 1 \frac{1}{44}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x + x + 1 = 46 x

Solve

x + x + 1 = 46 x : x = \frac{1}{44}

x + 1 = \frac{1}{44} + 1 = \frac{45}{44}

Convert improper fractions to mixed numbers:

\frac{45}{44} = 1 \frac{1}{44}

The numbers : \frac{1}{44}, 1 \frac{1}{44}

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