SOLUTION: Find the values of the positive numbers a and b, given that a is 8 times the size of b and the reciprocal of ab is 1 less than 3.

Question 139850: Find the values of the positive numbers a and b, given that a is 8 times the size of b and the reciprocal of ab is 1 less than 3.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find the values of the positive numbers a and b,
:
given that a is 8 times the size of b
a = 8b
:
and the reciprocal of ab is 1 less than 3.
+ 1 = 3
: = 2; subtract 1 from both sides
2ab = 1
:
2(8b*b) = 1; substitute 8b for a
16b^2 = 1
b^2 =
b =
b = 1/4
then
a = 8*
a = 2
:
:
Check solution in the statement:"a is 8 times the size of b"
2 = 8 * (1/4)

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