The difference of two numbers is 2,272 and their sum is 9,414. What is smaller of the two numbers?
Question
The difference of two numbers is 2,272 and their sum is 9,414. What is smaller of the two numbers?
Solution
Let's denote the two numbers as x and y. We know that:
- x - y = 2,272 (This is given by the difference of the two numbers)
- x + y = 9,414 (This is given by the sum of the two numbers)
We can solve these two equations simultaneously to find the values of x and y.
First, add the two equations together:
(x - y) + (x + y) = 2,272 + 9,414 2x = 11,686 x = 11,686 / 2 x = 5,843
Then, substitute x = 5,843 into the second equation:
5,843 + y = 9,414 y = 9,414 - 5,843 y = 3,571
So, the smaller of the two numbers is 3,571.
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