Medium
The sum of the reciprocals of two numbers is 1/4. How many times their sum is their product?
The sum of the reciprocals of two numbers is 1/4. How many times their sum is their product?
Given 1/a + 1/b = 1/4, combining the fractions gives (a+b)/(ab) = 1/4, so ab = 4(a+b). This means the product of the two numbers is 4 times their sum.
Re-check your working by substituting the answer back into the original question.