Question

I think of a number, multiply it by 4 subtract 6 and then divide by 5. If the answer is 10, what is the original number?

Answer 1

19

Answer 2

:)

Answer 3

"I think of a number", we'll call it n for now

"multiply it by 4" so we now have n x 4 or 4n

"subtract 6" we now have 4n - 6

"then divide by 5" and we get \(\Large \frac{4n-6}{5}\)

Answer 4

"If the answer is 10" means we set it equal to 10 and we can solve for n

\[\Large \frac{4n-6}{5} = 10\]

\[\Large 4n-6 = 10*5\]

\[\Large 4n-6 = 50\]

\[\Large 4n = 50+6\]

\[\Large 4n = 56\]

\[\Large n = \frac{56}{4}\]

\[\Large n = 14\]

Answer 5

So the original number is 14