# Three numbers whose sum is #54# are such that one is double another and triple the other. What are the three numbers?

9, 18, 27

The question is not explicit enough to have no doubt about all the relationships.

Assumption

Divide both sides by 6

Then proceed using the same approach as the solution above.

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With the question as posed, the three numbers take the form:

So their sum is:

Hence:

and the three numbers are:

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The three numbers are 8, 16, and 30.

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Let the three numbers be x, y, and z.

Given that:

- The sum of the three numbers is 54: ( x + y + z = 54 )
- One number is double another: ( y = 2x )
- One number is triple the other: ( z = 3x )

Substitute the expressions for y and z into the first equation:

( x + 2x + 3x = 54 )

Combine like terms:

( 6x = 54 )

Divide by 6 to solve for x:

( x = \frac{54}{6} )

( x = 9 )

Now, use the relationships y = 2x and z = 3x to find y and z:

( y = 2 \times 9 )

( y = 18 )

( z = 3 \times 9 )

( z = 27 )

So, the three numbers are 9, 18, and 27.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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