Question

The sum of two numbers is 46 and the difference is 20. What are the numbers?

LARGER NUMBER:

SMALLER NUMBER:

Answer 1

Let x and y be the numbers. 
x + y = 46 
x - y = 20 

From the second equation, we can say:x = y + 20 

And substituting into the first equation: 
(y + 20) + y = 46 
2y + 20 = 46 

Subtracting 20 from both sides: 
2y = 26 
y = 13 

Let's plug in 13 for y in one of the original equations: 
x + 13 = 46 
x = 33 
The numbers are 13 and 33. 

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Answer 2

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