SOLUTION: The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number. I can not figure ths out. I can not get it written into two

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Question 159296: The average of two numbers is 7. Find the numbers if three times one of the numbers is one half the other number.

I can not figure ths out. I can not get it written into two equations.
Found 2 solutions by jim_thompson5910, jojo14344:
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
"average of two numbers is 7" -->

"three times one of the numbers is one half the other number" --->

Start with the second equation

Multiply both sides by 2

Rearrange the equation

Move onto the first equation

Plug in

Add

Multiply both sides by 2

Divide both sides by 7

So the first number is 2 and the second number is

Answer by jojo14344(1513) (Show Source):
You can put this solution on YOUR website!

Let -----> 1st number
------------> 2nd number
1st condition, average is 7:

2nd condition: 3 times one number equals half the other,

In 2nd condition we get by cross multiplying:

------> condition 3, and substitute in condition 1:

---->
, 1st number
Via condition3:
, 2nd number
Check via condition 1:

Check via condition 2:

Thank you,
Jojo