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Popular Word Problems >

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

Solution

T h e s u m o f tw o n u mb ers i s 4040. H a l f t h e l a r g er n u mb er in cre a se d b y f o u r i s s am e a s t h e s ma ll er n u mb er . F in d t h e n u mb ers .

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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