SOLUTION: One number is 5 times another. If the sum of their reciprocal is 6/35, find the two numbers.
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Question 57369: One number is 5 times another. If the sum of their reciprocal is 6/35, find the two numbers.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b.
a = 5b One number is 5 times another.
The sum of their reciprocals is Simplifying this:
Cross-multiply.
Substitute a = 5b.
Simplify.
Factor out a b.
Apply the zero product principle.
and/or
Discard this solution as not meaningful.
Add 210 to both sides.
Divide both sides by 30.
The two numbers are:
7 and 35
Check:
=
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