# Question #71e99

##### 3 Answers

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.

#### Explanation:

Let the two numbers be

Hence,

Add these two equations.

Replace A in the first equation

Check the answers

Sum:

Difference:

#### 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#