Question

Sum of the reciprocals of two consecutive odd natural numbers is 16/63. Find them.​

Answer 1

Answer:

Numbers are 7 and

Explanation :

Let the numbers be x and y

Then, according to the question

x+y=16

1/x + 1/y =16/63

y+x/xy = 16/63

16/xy = 16/63

xy = 63

x(16-x) = 63

16-x = x² = 63

x²-16x+63 =0

x²-9x-7x+63 = 0

x(x-9)-7(x-9) = 0

(x-9)-(x-7) = 0

x-9 = 0 => x=9

x-7 = 0 => x=7

If x=9, then y=16-9 = 7

If x=7, then y=16-7 = 9

• Numbers are 7 and 9

I hope you understand my solution thanks you stay home and stay safe