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the sum of two numbers is 45. four times the smaller number is 23 more than three times the larger number. find the numbers

Solution

the sum of two numbers is 45. four times the smaller number is 23 more than three times the larger number. find the numbers

Solution

The numbers : 22 \frac{4}{7}, 22 \frac{3}{7}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 45

4 x = 23 + 3 y

x + y = 45, 4 x = 23 + 3 y : x = \frac{158}{7}, y = \frac{157}{7}

Convert improper fractions to mixed numbers:

\frac{158}{7} = 22 \frac{4}{7}

Convert improper fractions to mixed numbers:

\frac{157}{7} = 22 \frac{3}{7}

The numbers : 22 \frac{4}{7}, 22 \frac{3}{7}

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