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The sum of the two numbers is 170. One of the numbers exceeds the other by 30.Find the numbers.​

1 Answer

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Answer:

Explanation:

First sentence: The sum of these numbers are 170. Call these numbers a and b. Then, it means that a+b=170.

For the second sentence, without loss of generality, let a be the number exceeding by 30. We can write this in math terms as a=b+30.


We substitute a in the first equation to get (b+30)+b=170. Subtracting 30, 2b=140. Dividing by 2, we get b=70. Since a=b+30, a=100. Checking our solutions, this is indeed the correct answer.

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