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פּוֹפּוּלָרִי 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.

פתרון

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 .

פתרון

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

צעדי פתרון

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}

הסב שבר מדומה למספר מעורב:

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

הסב שבר מדומה למספר מעורב:

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

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

דוגמאות פופולריות

The sum of 3 consecutive even numbers is 403.What is the largest of the numbers?The sum of two numbers is 26. Half the larger number increased by five is same as the smaller number. Find the numbers Three times the sum of a number and 6 is 8 Two consecutive positive numbers are such that the sum of their squares is 113. Find the two numbers For how long must 5 000 be invested at 6% p.a. simple interest to have a final value of6 500.