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The sum of two numbers is 46 the difference is 16

User Thur
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2 Answers

3 votes
Let the two numbers be represented by X and Y. Then we get the following SYSTEM of equations:

x + y = 46 \\ x - y = 16

We can subtract both formulas from each other to eliminate x.

x - x + y - - y = 46 - 16

2y = 30
Now, divide both sides by 2

y = 15

Given that X + Y = 46

x + 15 = 46
Subtract 15 from both sides

x = 31

Hence, X = 31 and Y = 15
User Matt Jennings
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8.4k points
4 votes
31 and 15

31+15=46

31-15=16
User Baijum
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