the sum of two integers is 4 and their difference is 16. find the numbers


Sagot :


x + y = 4
y = 4 - x

Let the two integers be:
(x) and (4-x)

Find the difference to solve for x:
(x) - (x-4) = 16

In subtracting integers, change the sign of subtrahend or each term in the subtrahend, then proceed to addition rule.
x + (-4 + x) = 16
x + x - 4 = 16
2x = 16 + 4
2x = 20

2x/2 = 20/2
x = 10

Substitute 10 for x::
First integer: x = 10
Second integer: 4 - x 
                        = 4-10
                        = -6

The two integers are 10 and -6

To check the sum:
10 + (-6) = 4
4 = 4

To check the difference:
10 - (- 6) = 16
10 + 6 = 16