Question #71e99

3 Answers
Nov 30, 2017

22 & 15

Explanation:

x + y = 37
x - y = 7
--------------------- Adding the two equations:
2x = 44
x = 44/2

x = 22 The first number is 22.

22 - y = 7 Since x - y = 7

y = 15 The second number is 15.

2222 and 1515.

Explanation:

Let the two numbers be AA and BB.

Hence,

A+B=37A+B=37

A-B=7AB=7

Add these two equations. BB cancels out

2A=442A=44

A= 22A=22

Replace A in the first equation

A+B=37A+B=37

22+B=3722+B=37

B=15B=15

Check the answers

Sum: " "22+15=37 22+15=37

Difference: " "22-15=7 2215=7

Nov 30, 2017

22" and "1522 and 15

Explanation:

"let the two numbers be x and y with "x>ylet the two numbers be x and y with x>y

x+y=37to(1)x+y=37(1)

x-y=7to(2)xy=7(2)

"add the two equations term by term to eliminate y"add the two equations term by term to eliminate y

(x+x)+(y-y)=37+7(x+x)+(yy)=37+7

rArr2x=442x=44

"divide both sides by 2"divide both sides by 2

(cancel(2) x)/cancel(2)=44/2

rArrx=22

"substitute this value into either of the two equations"

"(1) "to22+y=37rArry=37-22=15

"note "22+15=37" and "22-15=7