The sum of to numbers add to 16 and their difference is 12 what are the two numbers ?
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ashleyherrera
30.03.2020
Math
Secondary School
answered
The sum of two numbers is 16 and their diference is 12
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Answer:
The numbers are 14 and 2
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Answer:
The sum of two numbers is 16 and their difference is 12. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 16. In other words, x plus y equals 16 and can be written as equation A:
x + y = 16
The difference between x and y is 12. In other words, x minus y equals 12 and can be written as equation B:
x - y = 12
Now solve equation B for x to get the revised equation B:
x - y = 12
x = 12 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 16
12 + y + y = 16
12 + 2y = 16
2y = 4
y = 2
Now we know y is 2. Which means that we can substitute y for 2 in equation A and solve for x:
x + y = 16
x + 2 = 16
X = 14
Summary: The sum of two numbers is 16 and their difference is 12. What are the two numbers? Answer: 14 and 2 as proven here:
Sum: 14 + 2 = 16
Difference: 14 - 2 = 12
Answer:
No are 14 and 2
Step-by-step explanation:
let no are x nad y
x+y=16
x-y=12
adding
2x=28
x=14
y=16-12=2