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put this solution on YOUR website!The smaller of two numbers is two-thirds of the larger,
One number = x; smaller number =
:
the sum of their reciprocals is 1/6.
+
=
:
What are the numbers?
:
The common denominator would be 6x, multiply equation by 6x
6x*
+ 6x*
= 6x*
:
Cancel the denominators leaving:
6(1) + 3(3) = x(1)
6 + 9 = x
x = 15 is one number
:
The smaller:
*15 = 10
:
:
Check solution in original equation:
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=
+
=
