Question

I will mark your answer in brainly.. Tell me with explanation properly the least number which on being added to 23 to it is exactly divisible by 32 36 and 96..

I know that we have to take out the LCM and subtract it from 23 but why 23 and not any other number?????

Answer 1

Because in the question itself it is written find the least number..It it was not written it would definitely have infinite solution..I think this will help you

Answer 2

Friend, Your answer is simple and you need full explanation.

Here it is:-
You know already that we need to calculate the LCM and subtract 23 from it.
We subtract 23 because it is asked in the question for a number which ON BEING ADDED BY 23 becomes exactly divisible by 32, 36 and 96.
Take an example,
If x + 23 = x÷36
Then we can write it in this way,
x = (x÷36)-23
Now suppose the LCM is 28 and we subtract 23 from it then the answer will be 5.
Now is someone will check our answer will add 23 to 5 and he will get the LCM.
And the answer will become correct.