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Popular >

The sum of two numbers is 72. The larger number is 3 less than 3 times the smaller number. Find the smaller number.

Solution

The sum of two numbers is 72. The larger number is 3 less than 3 times the smaller number. Find the smaller number.

Solution

The number : 18 \frac{3}{4}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 72

x = 3 y - 3

x + y = 72, x = 3 y - 3 : x = \frac{213}{4}, y = \frac{75}{4}

Convert improper fractions to mixed numbers:

\frac{75}{4} = 18 \frac{3}{4}

The number : 18 \frac{3}{4}

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