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zeni97
zeni97 zeni97
  • 29-08-2016
  • Mathematics
Answered

The sum of reciprocals of two numbers is 5/6 and the difference is 1/6. Find the numbers.

Verified Answer :

xxeitharredstar
xxeitharredstar xxeitharredstar
  • 29-08-2016

x=2
, y=3


this is the answer

Answer Link
caylus
caylus caylus
  • 29-08-2016

Hello,
Let's assume a and b the 2 numbers with a<b

1/a+1/b=5/6 (1)

1/a-1/b=1/6 (2)
(1)+(2)==>1/a+1/a=5/6+1/6==>2/a=1==>a=2

(1)==>1/b=5/6-1/2==>1/b=5/6-3/6==>1/b=1/3==>b=3

Answer Link

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