Question

Question #71e99

Answer 1

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 2

`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`

Answer 3

`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`