We are being informed that the sum of the two numbers is 12 and their difference is 6.
Thus, the two numbers whose sum is equal to 12 and their difference is equal to 6 are 9 and 3 respectively.
Let those two unknown numbers be (a) and (b)
a + b = 12
Their difference;
i.e.
a - b = 6
So, we can equate the two equations together;
i.e.
a + b = 12 --- (1)
a - b = 6 --- (2)
From equation (1); Let a be:
a = 12 - b
Now, Let's replace the value of (a) into equation (2)
12 - b - b = 6
12 - 2b = 6
-2b = 6 - 12
-2b = -6
2b = 6
b = 6/2
b = 3
If b = 3;
Then from equation, we have:
a + b = 12
replace b with 3 from the above equation, we have:
a + 3 = 12
a = 12 - 3
a = 9
Therefore, we can conclude that the sum of the two numbers are 9 and 3. respectively
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