Question

One number is 5 times another If the sum of their reciprocals is 2/15 find the two numbers Write a sentence that defines the variable you use and check your solution

n is one number
on it another number

n= 5*on

1/n + 1/on= 2/15

1/5on + 1/on= 2/15

multiply both sides by 5on
1 + 5= 10 on/15 solve for on, then n.