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פּוֹפּוּלָרִי Word Problems >

The sum of three integers is 37. The sum of the first and second integers exceeds the third by 45. The third integer is 20 less than the first. Find the three integers.

פתרון

T h e s u m o f t h ree in t e g ers i s 37. T h e s u m o f t h e f i rs t an d seco n d in t e g ers e x cee d s t h e t hi r d b y 45. T h e t hi r d in t e g er i s 20 l ess t han t h e f i rs t . F in d t h e t h ree in t e g ers .

פתרון

The numbers : 11 \frac{2}{3}, 33 \frac{2}{3}, - 8 \frac{1}{3}

צעדי פתרון

Represent the numbers with

x, y, z

:

number 1 : x

number 2 : y

number 3 : z

A.T.Q.:

x + y + z = 37

x + y = \frac{1}{3} + 45

z = x - 20

x + y + z = 37, x + y = \frac{1}{3} + 45, z = x - 20 : x = \frac{35}{3}, y = \frac{101}{3}, z = - \frac{25}{3}

הסב שבר מדומה למספר מעורב:

\frac{35}{3} = 11 \frac{2}{3}

הסב שבר מדומה למספר מעורב:

\frac{101}{3} = 33 \frac{2}{3}

הסב שבר מדומה למספר מעורב:

\frac{25}{3} = 8 \frac{1}{3}

The numbers : 11 \frac{2}{3}, 33 \frac{2}{3}, - 8 \frac{1}{3}

דוגמאות פופולריות

the square root of four more than twice a number The circumference of a circle is 20pi in. What is the area, in square inches? Express your answer in terms of 4 less than a number.What is the radius of a circle with a diameter of 4 15 is 40 percent of what number