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The sum of two numbers is 4040. Half the larger number increased by four is same as the smaller number. Find the numbers.

Solution

The sum of two numbers is 4040. Half the larger number increased by four is same as the smaller number. Find the numbers.

Solution

The numbers : 2690 \frac{2}{3}, 1349 \frac{1}{3}

Solution steps

Represent the numbers with

x and y

:

number 1 : x

number 2 : y

A.T.Q.:

x + y = 4040

\frac{1}{2} x + 4 = y

x + y = 4040, \frac{1}{2} x + 4 = y : x = \frac{8072}{3}, y = \frac{4048}{3}

Convert improper fractions to mixed numbers:

\frac{8072}{3} = 2690 \frac{2}{3}

Convert improper fractions to mixed numbers:

\frac{4048}{3} = 1349 \frac{1}{3}

The numbers : 2690 \frac{2}{3}, 1349 \frac{1}{3}

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