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Popular >

the difference between two numbers is 22. the sum of 6 times the larger and 7 times the smaller is 137. What are the numbers

Solution

the difference between two numbers is 22. the sum of 6 times the larger and 7 times the smaller is 137. What are the numbers

Solution

The numbers : 22 \frac{5}{13}, \frac{5}{13}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 22

6 x + 7 y = 137

x - y = 22, 6 x + 7 y = 137 : x = \frac{291}{13}, y = \frac{5}{13}

Convert improper fractions to mixed numbers:

\frac{291}{13} = 22 \frac{5}{13}

The numbers : 22 \frac{5}{13}, \frac{5}{13}

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