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The difference between two numbers is 103. Seven times the smaller is equal to 5 more than the larger. What are the numbers?

Solution

The difference between two numbers is 103. Seven times the smaller is equal to 5 more than the larger. What are the numbers?

Solution

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x - y = 103

7 x = 5 + y

x - y = 103, 7 x = 5 + y : x = - \frac{49}{3}, y = - \frac{358}{3}

Convert improper fractions to mixed numbers:

\frac{49}{3} = 16 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{358}{3} = 119 \frac{1}{3}

The numbers : - 16 \frac{1}{3}, - 119 \frac{1}{3}

Popular Examples

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