The sum of the reciprocals of two consecutive odd natural numbers is 12/35 then find those numbers
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Answer: 5,7
Step-by-step explanation: Let the numbers be x, x+2
According to question 1/x + 1/x+2 =12/35
(x+2+x)/(x^2+2x) =12/35 (Take L.C.M)
2x+2/x^2+2x =12/35
cross multiply
12x^2 +24x = 70x +70
12x^2-46x-70=0
This is a quadratic equation
x=5,x=-7/6
SO the value of x=5.
The two consecutive odd numbers are 5,7
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