SOLUTION: two numbers are in ratio 4:5. if difference of their cubes is 61, find the number

Question 1041255: two numbers are in ratio 4:5. if difference of their cubes is 61, find the number
Found 4 solutions by robertb, Edwin McCravy, ikleyn, MathTherapy:
Answer by robertb(5830)   (Show Source): You can put this solution on YOUR website!
If y = 5 and x = 4, then .
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
two numbers are in ratio 4:5.

Let x = the smaller number Let y = the larger number Cross-multiply:

if difference of their cubes is 61,

Substitute for x: Multiply through by 125 Divide both sides by 61. Take cube roots of both sides: Since y = the larger number, the larger number is 5 Since x = the smaller number, and the smaller number Edwin

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.
two numbers are in ratio 4:5. if difference of their cubes is 61, find the number
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

= ---> = = . Let a = , b = . Then = (1) and b - a = 61. (2) ---> a = ---> b - = 61 ---> 125b - 64b = 61*125 ---> 61b = 61*125 ---> b = 125 ---> = 125 ---> y = = 5. Then x = 4.

Solved.

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

two numbers are in ratio 4:5. if difference of their cubes is 61, find the number

Let multiplicative factor be x
Then numbers are: 4x and 5x
Since the difference of their cubes is 61, we can say that:

___________x = 1
Therefore numbers are:
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