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the larger of two numbers is six more than three times the smaller number. If the sum of the two numbers is 34, what are the two numbers?

Respuesta :

Answer:

7 and 27

Step-by-step explanation:

We can make an equation for this, it looks like this:

6+3x+x=34

Simple algebra can be used to solve this (x is the smaller number)

1. 6+3x+x=34

2. 6+4x=34 Combine like terms

3. 4x=28 Simplify

4. x=7 simplify

Now that we have the smaller number we can use a portion of the original equation to solve with x=7.

1. 6+3x

2. 6+3(7)

3. 6+21

4. 27

So the smaller number is 7, and the larger number is 27.