One number is 3 times another. If the sum of teir reciprocal ia 4/9, find the two number.?

Answer 1

a=3b
sum of reciprocals is 1/a + 1/(3b) = 4/9
You do the rest. I'm tired.

Answer 2

Let x be one of the numbers
By definition, the other number must be 3x

(A reciprocal is the same as making the number into the denominator of a fraction where the numerator is 1.

For example, the reciprocal of 4 is 1/4. The reciprocal of 8 is 1/8.

The word "sum" means add the two numbers together)

Lets read the question... the sum (add ) of the the reciprocals (flip the numbers into a fraction) is (equals) 4/9.

So,

1/x + 1/(3x) = 4/9

Does this help you get started on your homework?

Answer 3

3 and 9
3x3 = 9

recipricol of 3 = 1/3 = 3/9
recipricol of 9 = 1/9

3/9 + 1/9 = 4/9

Answer 4

x = 3y

3y's reciprocal is (1/(3y))

(1/y) + (1/(3y)) = (4/9)

Multiply everything by 9y

9 + 3 = 4y
12 = 4y
y = 3

x = 3(3) = 9

The numbers are 3 and 9

Answer 5

let x and y be the numbers:

x =3y
1/x + 1/y = 4/9

do the rest yourself.

Answer 6

do your own homework