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Popular >

The sum of two numbers is equal to 63, and their difference is equal to12. Find the numbers.

Solution

The sum of two numbers is equal to 63, and their difference is equal to12. Find the numbers.

Solution

The numbers : 37 \frac{1}{2}, 25 \frac{1}{2}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 63

x - y = 12

x + y = 63, x - y = 12 : x = \frac{75}{2}, y = \frac{51}{2}

Convert improper fractions to mixed numbers:

\frac{75}{2} = 37 \frac{1}{2}

Convert improper fractions to mixed numbers:

\frac{51}{2} = 25 \frac{1}{2}

The numbers : 37 \frac{1}{2}, 25 \frac{1}{2}

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