SOLUTION: the sum of two numbers is 21.3/4 of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.

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Question 1097676: the sum of two numbers is 21.3/4 of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322)   (Show Source): You can put this solution on YOUR website!
x+y=21
3/4x+2/3y=15
--------------------
y=21-x
3/4x+2/3(21-x)=15
3/4x+14-2/3x=15
9/12x-8/12x=15-14
1/12x=1
x=(1/1)/(1/12)
x=1/1*12/1
x=12
-------------------
3/4*12+2/3y=15
9+2/3y=15
2/3y=15-9
y=6/(2/3)
y=6*3/2
y=9
---------------
x+y=21
12+9=21
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
the sum of two numbers is 21.3/4 of one of the numbers added to 2/3 of the other gives a sum of 15. Find the two numbers.
Let the number multiplied by , be F

Then the number multiplied by  is: 21 – F

We then get: 





9F + 168 – 8F = 180 -------- Multiplying by LCD, 12 

9F – 8F = 180 – 168

F, or number multiplied by  is: 

Number multiplied by  is:  

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