Question -
Answer -
Let the given whole number = x
Then its reciprocal = 1/x
According to the condition,
x – 20 = 69 x (1/x)
=> x – 20 = 69/x
=> x² – 20x = 69
=> x² – 20x – 69 = 0
=> x² – 23x + 3x – 69 = 0
=> x (x – 23) + 3 (x – 23) = 0
=> (x – 23) (x + 3) = 0
Either x – 23 = 0, then x = 23
or x + 3 = 0, then x = -3, but it is not a whole number
Required whole number = 23