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Popular Word Problems >

The sum of two number is-34 and their difference is 5. Find the numbers.

Solution

T h e s u m o f tw o n u mb er i s - 34 an d t h e i r d i ff ere n ce i s 5. F in d t h e n u mb ers .

Solution

The numbers : - 14 \frac{1}{2}, - 19 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = - 34

x - y = 5

x + y = - 34, x - y = 5 : x = - \frac{29}{2}, y = - \frac{39}{2}

Convert improper fractions to mixed numbers:

\frac{29}{2} = 14 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{39}{2} = 19 \frac{1}{2}

The numbers : - 14 \frac{1}{2}, - 19 \frac{1}{2}

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