MATH SOLVE

3 months ago

Q:
# One number is four times another number. The sum of their reciprocals is 1/4 . What are the numbers?

Accepted Solution

A:

If one number is x the other is 4x. I read the sum of their reciprocals as ΒΌ=1/x+1/(4x).

Multiply through by 4x: x=4+1=5. So the numbers are 5 and 20.

Multiply through by 4x: x=4+1=5. So the numbers are 5 and 20.