Question

A number is subtracted from 72. The new number is divided by 6 to give 10. Find the number.

Answer 1

Hint: Let the number we need to find be x. Subtract this from 72 to get (72-x). Divide (72-x) by 6 to get $\dfrac{\left( 72-x \right)}{6}$ . Equate this to 10 and solve for x to get the final answer.

Complete step-by-step answer:

We are given that a number is subtracted from 72 and then the new number is divided by 6 to give 10.
Using this information, we have to find the value of this number.
Let us first assume that this number is x.
We are given that this number is subtracted from 72 to give a new number.
Then this new number will be (72-x).
Now this new number is further divided by 6.
So, after dividing, we will get the new number as:
$\dfrac{\left( 72-x \right)}{6}$
We are given that this new number is equal to 10.
So, we will equate $\dfrac{\left( 72-x \right)}{6}$ to 10, to give us the following:
$\dfrac{\left( 72-x \right)}{6}=10$
$\left( 72-x \right)=60$
$x=12$
So, the required number is 12.
This means that 12 is subtracted from 72 to give a new number which is 60. This new number is in turn divided by 6 to give us 10. So, our answer is confirmed.

Note: We can also suppose that the new number after subtracting the original number from 72 be y. Dividing y by 6 gives us 10. This means that y is equal to 60. Now subtract y=60 from 72 to get the final answer which is 12.