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Popular Word Problems >

The sum of two numbers is thirty. The product of two and the smaller number is five times the larger number. What is the number

Solution

T h e s u m o f tw o n u mb ers i s t hi r t y . T h e p ro d u c t o f tw o an d t h e s ma ll er n u mb er i s f i v e t im es t h e l a r g er n u mb er . Wha t i s t h e n u mb er

Solution

The number : 8 \frac{4}{7}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 30

2 x = 5 y

x + y = 30, 2 x = 5 y : x = \frac{150}{7}, y = \frac{60}{7}

Convert improper fractions to mixed numbers:

\frac{60}{7} = 8 \frac{4}{7}

The number : 8 \frac{4}{7}

Popular Examples

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