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The sum of 2 numbers is 32, and their difference is 12. Find the two numbers.
Larger number =
Smaller number
Answers
Step-by-step explanation:
The sum of x and y is 32. In other words, x plus y equals 32 and can be written as equation A:
x + y = 32
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 = 32
12 + y + y = 32
12 + 2y = 32
2y = 20
y = 10
Now we know y is 10. Which means that we can substitute y for 10 in equation A and solve for x:
x + y = 32
x + 10 = 32
X = 22
Summary: The sum of two numbers is 32 and their difference is 12. What are the two numbers? Answer: 22 and 10 as proven here:
Sum: 22 + 10 = 32
Difference: 22 - 10 = 12
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Answer:
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