One number is 3 times as large as the other

Let x be the larger number, y the smaller- x= 3y

and the didference between their reciprocals is 1/6 . Find the two numbers

Since x> y, 1/y> 1/x. 1/y- 1/x= 1/6. Replace x with 3y: 1/y- 1/(3y)= 1/6.

Now multiply both sides by 6y.

My answer is x=0 and 4

Y= 0 and 12

x= 0 and y= 0 are impossible for the reason skeeter gave. Also when a problem has two unknowns and there

**is** more than one answer, do not give the x-values together and the y-values together. Each x value corresponds to a given y value. You need to show that correspondence as well as the individual numbers.