Question

Find the largest number of the following which leaves the same remai der after dividing 25.73,97 respectively?


(al 25
(b) 12
(c) 23
(d) 24 ​

Answer 1

$\mathfrak \orange{Answer}$

The greatest number would be 24 so at to leave the same remainder in each case.

$\mathfrak \orange{step \: by \: step \: explanation}$

Since we have given that

There are numbers are 25, 73, and 97.

We need to find the greatest number which will divide 25, 73 and 97 as so to leave the same remainder in each case.

So, we will find :

73-25 = 48

97-73 = 24

97-25 = 72

So, we will find the H.C.F. of 48, 24, and 72, which is equal to 24.

So, the greatest number would be 24 so at to leave the same remainder in each case.