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Popular Word Problems >

One number added to three times another number is 24 . Five times the number added to three times the other number is 36 . Find the numbers.

Solution

O n e n u mb er a dd e d t o t h ree t im es an o t h er n u mb er i s 24 . F i v e t im es t h e n u mb er a dd e d t o t h ree t im es t h e o t h er n u mb er i s 36 . F in d t h e n u mb ers .

Solution

The numbers : 10 \frac{1}{2}, 4 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + 3 y = 24

5 y + 3 y = 36

x + 3 y = 24, 5 y + 3 y = 36 : x = \frac{21}{2}, y = \frac{9}{2}

Convert improper fractions to mixed numbers:

\frac{21}{2} = 10 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{9}{2} = 4 \frac{1}{2}

The numbers : 10 \frac{1}{2}, 4 \frac{1}{2}

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