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The average of two numbers is 12. One number is five more than the other. What are the two numbers?

User D Pinto
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Final answer:

The two numbers with an average of 12, where one number is 5 more than the other, are 9.5 and 14.5.

Step-by-step explanation:

The question involves finding two numbers given that their average is 12 and one number is 5 more than the other.

To solve this, let’s denote the smaller number as x.

Since one number is 5 more than the other, the larger number will be x + 5.

The average of these two numbers is (x + (x + 5))/2 = 12.

Multiplying both sides by 2 gives 2x + 5 = 24.

Subtracting 5 from both sides, we get 2x = 19, and then dividing both sides by 2 results in x = 9.5.

Therefore, the two numbers are 9.5 and 9.5 + 5, which gives us 9.5 and 14.5.

User Novlette
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