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The sum of two numbers is 34. One number is 7 less than 2 times the other. What are the 2 numbers?

Solution

The sum of two numbers is 34. One number is 7 less than 2 times the other. What are the 2 numbers?

Solution

The numbers : 20 \frac{1}{3}, 13 \frac{2}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 34

x = 2 y - 7

x + y = 34, x = 2 y - 7 : x = \frac{61}{3}, y = \frac{41}{3}

Convert improper fractions to mixed numbers:

\frac{61}{3} = 20 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{41}{3} = 13 \frac{2}{3}

The numbers : 20 \frac{1}{3}, 13 \frac{2}{3}

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