SOLUTION: Two positive numbers are in the ratio 2:3. Find the numbers if their product is 150

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two positive numbers are in the ratio 2:3. Find the numbers if their product is 150      Log On


   

Question 858932: Two positive numbers are in the ratio 2:3. Find the numbers if their product is 150
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two positive numbers are in the ratio 2:3. Find the numbers if their product is 150
----
2:3 is the same as 2x:3x
------
Equation::
2x*3x = 150
6x^2 = 150
x^2 = 26
x = sqrt(26)
------
2x = 2sqrt(26)
3x = 3sqrt(26)
---------------
Cheers,
Stan H.