SOLUTION: A natural number is 4 more than another natural number. When the reciprocal of the greater number is subtracted from the reciprocal of the lesser number, the difference is 1/15. Wh

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Question 768511: A natural number is 4 more than another natural number. When the reciprocal of the greater number is subtracted from the reciprocal of the lesser number, the difference is 1/15. What are the two numbers?
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
n>m
n=m%2B4
1%2Fm-1%2Fn=1%2F15

Solve for m and n.

The difference equation becomes, when multiply both sides by 15mn,
15n-15m=mn
and substituting the formula for n,
15%28m%2B4%29-15m=15m%28m%2B4%29
.
60=15m%5E2%2B60m
.
m%5E2%2B4m-4=0
%28m-2%29%5E2=0
highlight%28m=2%29 which means highlight%28n=6%29