#### haftakhan

One number is 3 times as large as the other and the didference between their reciprocals is 1/6 . Find the two numbers

My answer is x=0 and 4

Y= 0 and 12

#### chiro

MHF Helper
Hey haftakhan.

It's more important for you to express the information mathematically and get the answer through a systematic method rather than guess.

Did you just guess or did you do it in a more methodical manner?

1 person

#### skeeter

MHF Helper
fyi ... the reciprocal of 0 is undefined.

1 person

#### HallsofIvy

MHF Helper
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.