Question #71e99

3 Answers
Nov 30, 2017

Answer:

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.

Answer:

#22# and #15#.

Explanation:

Let the two numbers be #A# and #B#.

Hence,

#A+B=37#

#A-B=7#

Add these two equations. #B# cancels out

#2A=44#

#A= 22#

Replace A in the first equation

#A+B=37#

#22+B=37#

#B=15#

Check the answers

Sum: #" "22+15=37#

Difference: #" "22-15=7#

Nov 30, 2017

Answer:

#22" and "15#

Explanation:

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

#x+y=37to(1)#

#x-y=7to(2)#

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

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

#rArr2x=44#

#"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#