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the greater of 2 numbers is 7 times the lesser number. 3 times the greater number is 7 more that 4 times the lesser number. what are the 2 numbers?

Solution

the greater of 2 numbers is 7 times the lesser number. 3 times the greater number is 7 more that 4 times the lesser number. what are the 2 numbers?

Solution

The numbers : 2 \frac{15}{17}, \frac{7}{17}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x = 7 y

3 x = 7 + 4 y

x = 7 y, 3 x = 7 + 4 y : x = \frac{49}{17}, y = \frac{7}{17}

Convert improper fractions to mixed numbers:

\frac{49}{17} = 2 \frac{15}{17}

The numbers : 2 \frac{15}{17}, \frac{7}{17}

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