Question

The sum of 2 numbers is 12 and their difference is 2.which are the numbers?​

Answer 1

Let the two numbers be  x and  y

The sum of two numbers is 12

x + y = 12 ====> (1)

Their difference is 2

x - y = 2

x = 2 + y ===> (2)

Now substituting value of x from (2) to (1)

x + y = 12

2 + y + y = 12

2 + 2y = 12

2y = 12 - 2

2y = 10

y = 10/2  = 5

Substituting the value of y in (2)to derive value of x

x = 2 + y

x = 2 + 5

y = 7

The two numbers are 7 and 5 .

hope it helps !!

Answer 2

Answer:

let the two numbers be x and y

x+ y = 12 ............(1)

x- y = 2. .............(2)

from 1 and 2 we get ( since sum is there)

x + y + x - y = 12+2

2 x = 14

x= 7

Now finding value of Y

x + y= 12

7+ y = 12

y = 5