Question

One number is 2 times as large as another. The sum of their reciprocals is 15/2. Find the two numbers.
(smaller value)
(larger value)

Answer 1

Let smaller number be S
Let larger number be L

L = 2*S
1/L + 1/S = 15/2

Solve the equations.

Answer 2

1/2S + 1/S = 15/2

3/2S = 15/2
2S = 3*2/15
S = 3/15 = 1/5
L = 2/5