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Popular Word Problems >

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

Solution

T h e s u m o f tw o n u mb ers i s 34. O n e n u mb er i s 7 l ess t han 2 t im es t h e o t h er . Wha t a re t h e 2 n u mb ers ?

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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