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when a certain number is subtracted from twice another number the result is 25.when 4 times the firs number is added to the second number the result is 50.find the two numbers

Solution

Solution

The numbers : 8 \frac{1}{3}, 16 \frac{2}{3}

Solution steps

Represent the numbers with

x and y

number 1 : x

number 2 : y

A.T.Q.:

2 y - x = 25

y + 4 x = 50

2 y - x = 25, y + 4 x = 50 : x = \frac{25}{3}, y = \frac{50}{3}

Convert improper fractions to mixed numbers:

\frac{25}{3} = 8 \frac{1}{3}

Convert improper fractions to mixed numbers:

\frac{50}{3} = 16 \frac{2}{3}

The numbers : 8 \frac{1}{3}, 16 \frac{2}{3}

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