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

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Detailed Solution

Concept- The number is 12.
Let the number we need to find be

. Subtract this from 72 to get

. Divide (72-x) by 6 to get

. Equate this to 10 and solve for

to get the final answer.
We are informed that a number is taken out of 72, and that the result is divided by six to provide the number 10.
We must determine the value of this number using this information.
First, let's suppose that this integer is x.
It is stated that this number is taken out of 72 to produce a new number.
The new number will then be (72-x).
The new number is now split by 6 more times.
As a result, after division, the new number is:

We are given that this new number is equal to 10 .
So, we will equate

to 10 , to give us the following:

Therefore, 12 is needed.
This implies that 12 gets taken out of 72 to get the new number, 60. The result is 10 when the new number is split by 6 again.
Hence, the correct answer is 12.

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