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The sum of two numbers is 60. The larger number is 14 more than the smaller number. What are the numbers?

User Chisx
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1 Answer

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Answer:

23 and 37

Explanation:

Pre-Solving

We know that are two numbers, and they add up to 60.

One of the numbers is 14 more than the other number.

This means that if the first number is x, the other is x+14.

Solving

Since the two numbers add up to 60, this means that x+x+14=60

This equation can be simplified to:

2x + 14 = 60

Now, we can treat it as a regular equation; start by subtracting 14 from both sides.

2x = 46

Divide both sides by 2.

x = 23

We know that one of the numbers is 23.

Recall that the other is x+14, which means it is 23 + 14, or 37.

So, the numbers are 23 and 37.

User Thedemons
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