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Popular Word Problems >

two times a number is 25. three times the first number minus the other number is 20. find the numbers

Solution

tw o t im es a n u mb er i s 25. t h ree t im es t h e f i rs t n u mb er min u s t h e o t h er n u mb er i s 20. f in d t h e n u mb ers

Solution

The numbers : 12 \frac{1}{2}, 17 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

2 x = 25

3 x - y = 20

2 x = 25, 3 x - y = 20 : x = \frac{25}{2}, y = \frac{35}{2}

Convert improper fractions to mixed numbers:

\frac{25}{2} = 12 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{35}{2} = 17 \frac{1}{2}

The numbers : 12 \frac{1}{2}, 17 \frac{1}{2}

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