SOLUTION: find two positive numbers whoes ratio is 8 to 3 and whose product is 864

Question 128191: find two positive numbers whoes ratio is 8 to 3 and whose product is 864
Answer by marcsam823(57) (Show Source): You can put this solution on YOUR website!
We are given two conditions:
Let x = the first number
Let y = the second number
We are given two conditions:
The first is the numbers have a ratio of 8 to 3 or
Therefore
Another way to write this would be:

The second condition is that they multiply to 864, so:

Substitute for x in the second equation:

Solve for y:

y = +/-18 (reject the negative answer because the problem asks for two positive numbers)

Solve for x by substituting:

Check:

The two numbers are 18 and 48

RELATED QUESTIONS
find two positive numbers whose ratio is 8 to 7 and whose product is... (answered by tiffany222)

Find two positive numbers whose ratio is 2:3 and whose product is... (answered by robertb)

Find two positive numbers whose ratio is 2:3 and whose product is 600? How do i set it... (answered by Alan3354)

Find two positive numbers whose sum is 7 and whose product is... (answered by josgarithmetic)

Find two positive numbers whose sum is 8 and the product is... (answered by greenestamps,math_tutor2020)

Find two positive numbers whose ratio is 6 to 5 whose product is 750. what is the... (answered by TimothyLamb,josgarithmetic,richwmiller,Namita)

Find two positive numbers whose difference is 26 and whose product is 1431 _____ and... (answered by josgarithmetic)

find two positive numbers whose sum is 42 and whose product is as large as... (answered by Alan3354)

find two positive numbers whose difference is 24 and whose product is... (answered by ankor@dixie-net.com)