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Popular >

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

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

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}

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