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The sum of two numbers is 42. Three times the smaller number is 9 more than twice the larger number. Find the numbers

Solution

The sum of two numbers is 42. Three times the smaller number is 9 more than twice the larger number. Find the numbers

Solution

The numbers : 18 \frac{3}{5}, 23 \frac{2}{5}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 42

3 x = 9 + 2 y

x + y = 42, 3 x = 9 + 2 y : x = \frac{93}{5}, y = \frac{117}{5}

Convert improper fractions to mixed numbers:

\frac{93}{5} = 18 \frac{3}{5}

Convert improper fractions to mixed numbers:

\frac{117}{5} = 23 \frac{2}{5}

The numbers : 18 \frac{3}{5}, 23 \frac{2}{5}

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