Question

If the quotient of a number and 15 is added to 1/3 the result is 19/15 find the number

Answer 1

n = 14

Step-by-step explanation

Let n be the number.

The quotient of a number and 15 is the number divided by 15:

`(n)/(15)`

And this added to 1/3 equals 19/15. The equation to solve is:

`(n)/(15)+(1)/(3)=(19)/(15)`

To solve for n first we have to subtract 1/3 from both sides of the equation:

`\begin{gathered} (n)/(15)+(1)/(3)-(1)/(3)=(19)/(15)-(1)/(3) \\ (n)/(15)=(19)/(15)-(5)/(15) \\ (n)/(15)=(14)/(15) \end{gathered}`

And then multiply both sides by 15:

`\begin{gathered} (n)/(15)\cdot15=(14)/(15)\cdot15 \\ n=14 \end{gathered}`

The mentioned number is 14