The sum of a non - zero number and twenty times its reciprocal is 9. What is the number?
5
Let the number be y.
According to the statement of the question,
⇒ y + 20/y = 9
⇒ y2 - 9y + 20 = 0
⇒ (y - 5) (y - 4) = 0
The desired number is 5, which satisfies the above condition,
∴ The value of the number is 5.
Important Questions from Integers
- The average of eleven consecutive positive integers is d. If the last two numbers are excluded, by how much will the average increase or decrease?
The numerator of fraction is 3 more than the denominator. When 5 is added to the numerator and 2 is subtracted from the denominator, the fraction becomes 8/3, When the original fraction is divided by \(5 \frac{1}{2}\) , the fraction so obtained is:
If \(\frac{{45}}{{53}} = \frac{1}{{a + \frac{1}{{b + \frac{1}{{c - \frac{2}{5}}}}}}},\) where a, b and c are positive integers, then what is the value of (4a - b + 3c)
The denominator of a fraction is 4 more than the double of its numerator. When 3 is added to the numerator and 3 is subtracted from denominator the fraction becomes 2/3. Then find the difference between denominator and numerator of the original fration.
The average of eight consecutive odd number is 28. The sum of the smallest and the largest number is:
