the sum of two numbers is 12. the difference of the same two numbers is -4. find the numbers.
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the statement:
The sum of two numbers is 12. The difference of the same two numbers is -4.
Find the numbers.
Solution:
in order to find the numbers, we equate the values in a representation,
x = bigger number
y = smaller number
x + y = 12
x - y = -4
Solve for x in the first equation and substitute it on the second equation.
x + y = 12
x = 12 - y
(12 - y) - y = -4
12 -2y = -4
-2y = -4 - 12
-2y/-2 = -16/-2
y = 8
Substitute to the first equation
x = 12 - 8
x = 4
Final answer:
The two numbers are 4 and 8.