Math, asked by mandeisepha1669, 9 months ago

THE AVERAGE OF TWO NUMBERS IS SEVEN AND THREE TIMES THE

Answers

Answered by ashauthiras
3

Answer:

(x + y)/2 = 7   <-----The average of two numbers is 7/

(x - y)*3 = 18   <-----Three times the difference between them is 18

Then:  

(x + y)/2 = 7

x + y = 14

y = 14 - x, substitute this into (x - y)*3 = 18.

(x - (14 - x))*3 = 18

(x - 14 + x)*3 = 18

(2x - 14)*3 = 18

2x - 14 = 6

2x = 6 + 14

2x = 20

x = 10, plug this into (x + y)/2 = 7.

Then:

(10 + y)/2 = 7

10 + y = 14

y = 4

x = 10  y = 4

Answered by paruarya2005
1

Step-by-step explanation:

the average of two numbers is 7, and three times the difference between them is 18. find the numbers

the average of two numbers is 7, and three times the difference between them is 18. find the numbers

(x + y)/2 = 7 <-----The average of two numbers is 7/

(x - y)*3 = 18 <-----Three times the difference between them is 18

Then:

(x + y)/2 = 7

x + y = 14

y = 14 - x, substitute this into (x - y)*3 = 18.

(x - (14 - x))*3 = 18

(x - 14 + x)*3 = 18

(2x - 14)*3 = 18

2x - 14 = 6

2x = 6 + 14

2x = 20

x = 10, plug this into (x + y)/2 = 7.

Then:

(10 + y)/2 = 7

10 + y = 14

y = 4

x = 10 y = 4

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