Question

The sum of two numbers is 12 the difference of the same is -4 formulate a system of equation and find the number

Answer 1

The numbers are a= 4 and b= 8.

Explanation:

Let the unknowns number be a and b.

assume a>b.

As per the given condition: The sum of two number is 12 and the difference of the same is -4.

from the above conditions we have:

`a+b =12` ......[1]

`a-b=-4` ......[2]

Now, adding equations, we will eliminate b leaving an equation in a that we can solve:

⇒ [1]+[2] gives;

`(a+b)+(a-b)=12+(-4)` or

`a+b+a-b=12-4`

Simplify:

`2a=8`

Divide by 2 on both sides, we get

`(2a)/(2)= (8)/(2)`

Simplify:

a=4

Substitute the value of a= 4 in equation [1] . to solve for b;

`4+b=12` or

b= 12-4 =8

Therefore, the numbers a and b are 4 and 8