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The sum of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers

Solution

The sum of two numbers is 3 less than twice the first. Their sum is 36. Find the numbers

Solution

The numbers : 19 \frac{1}{2}, 16 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 2 x - 3

x + y = 36

x + y = 2 x - 3, x + y = 36 : x = \frac{39}{2}, y = \frac{33}{2}

Convert improper fractions to mixed numbers:

\frac{39}{2} = 19 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{33}{2} = 16 \frac{1}{2}

The numbers : 19 \frac{1}{2}, 16 \frac{1}{2}

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