Answer:
The numbers are a= 4 and b= 8.
Step-by-step 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:
[tex]a+b =12[/tex] ......[1]
[tex]a-b=-4[/tex] ......[2]
Now, adding equations, we will eliminate b leaving an equation in a that we can solve:
⇒ [1]+[2] gives;
[tex](a+b)+(a-b)=12+(-4)[/tex] or
[tex]a+b+a-b=12-4[/tex]
Simplify:
[tex]2a=8[/tex]
Divide by 2 on both sides, we get
[tex]\frac{2a}{2}= \frac{8}{2}[/tex]
Simplify:
a=4
Substitute the value of a= 4 in equation [1] . to solve for b;
[tex]4+b=12[/tex] or
b= 12-4 =8
Therefore, the numbers a and b are 4 and 8
