Problema Solution

One number is 4 times another number. If the sum of their reciprocals is 5/24, what are the two numbers? Hint: Write the problem out as an equation involving rational expressions.

Answer provided by our tutors

24x(1/x + 1/4x = 5/24)

24 + 6 = 5x

5x = 30

x = 6

The numbers are 6 and 24.