The sum of two numbers is 10 and the difference is 6. What are the numbers?
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4 is your answer.
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The two numbers are 8 and 2.
Concept:
A simultaneous equations in two variables are formed as per given data.
The solution of those equations is found by elimination method.
This method is shown in the attachment below.
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If you are not able to open this attachment, here is the answer,
Let the two numbers be x and y with x > y
As per given data,
x + y = 10.........(1)
x - y = 6............(2)
(1)+(2)
2x = 16
x = 16/2
x = 8
put x = 8 in (1)
x + y = 10
8 + y =10
y = 10 - 8
y = 2
Solution: x = 8, y = 2
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