The product of two numbers is 30. If one of the numbers is 6/17, what is the other number?The product of two numbers is 30. If one of the numbers is 6/17, what is the other number?

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hala718's profile pic

hala718 | High School Teacher | (Level 1) Educator Emeritus

Posted on

The product of two numbers = 30

Let one of the number be x.

The second number = 6/17

Then,

6/17 * x = 32

Now multiply by 17/6 :

\==> x= 32*17/6

==> x = 272/ 3

tonys538's profile pic

tonys538 | Student, Undergraduate | (Level 1) Valedictorian

Posted on

The product of two numbers is 30. One of the numbers is 6/17.

The other number has to be determined.

If the other number is represented by N, as the product of the numbers N and 6/17 is 30 we get the following equation in N:

N*(6/17) = 30

Multiply both sides by (17/6)

N*(6/17)*(17/6) = 30*(17/6)

N = 5*17

N = 85

The other number is 85.

khansaqib's profile pic

khansaqib | Student, Grade 9 | (Level 1) Honors

Posted on

let the2nd no= x

then

6/17 * x=30   

x =30*17/6  then

x = 85

AS 6/17 *85 =30

 

giorgiana1976's profile pic

giorgiana1976 | College Teacher | (Level 3) Valedictorian

Posted on

We'll note the product of the 2 numbers as P:

P = a*b

We'll put one of the factors as 6/17.

Since there is not specified what factor to be the ratio 6/17, we'll put a = 6/17.

We also know that the product of the factors is 30.

We'll put P = 30.

30 = 6b/17

We'll multiply both sides by 17:

30*17 = 6b

We'll divide by 6 both sides and we'll use the symmetric property:

b = 5*17

b = 85

The other factor is b = 85.

eyitopps4real's profile pic

eyitopps4real | Student, Undergraduate | (Level 1) eNoter

Posted on

From the question, we have been given one of the number as 6/17, now let the unknown number be any alphabet (let say m). Since their product is 30, that implies 6/17*m =30. Multiplying the R.H.S gives 6m/17 =30. When we cross multiply, we get 6m =30 * 17. With this we achieve 6m = 510. Making m the subject, we divide through by 6. i.e 6m/6 = 510/6. And this gives m = 85. So the other number is 85.

william1941's profile pic

william1941 | College Teacher | (Level 3) Valedictorian

Posted on

We are given that two numbers are multiplied to give 30 as the result and that one of the numbers is 6/17. Let the other number, which is the one we have to determine, be X.

Using the information given we can derive the expression X*(6/17)=30

Multiply both sides of the equation by 17/6, we get:

X = 30*(17/6). Simplifying, we get X= 5*17 = 85

Therefore the other number is 85.

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

Product of two numbers is 30. One of the number is 6/17.

Therefore  product = 30 divided by 6/17  is the other number.

So the other number = 30 / (6/17) = 30*17/6 = (30/6)17 = 85.

So 85 is the other number and the product of 85 and 6/17  is 85*(6/17) =  (85/17)*6 = 30.

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