Question

On dividing 2272 as well as 875 by a 3-digit number N, we get the same remainder. The sum of the digits of Nis (1) 10 2) 11 3 12 (43) 13​

Answer 1

Answer:

So, we will first find the difference between the given numbers i.e. 2272 and 875. 1397 will be divisible by three digit number i.e. \[N\]. ... The sum of the digits of \[N\] \[ = 1 + 2 + 7 = 10\]. Hence, the correct option is option A.

Answer 2

Answer:

Step-by-step explanation:

N  

1

​

=2272;N  

2

​

=875

When N  

1

​

 and N  

2

​

 divide by N give remainder r

Then N  

1

​

−r,N  

2

​

−r is also divisible by N

N

(2272−r)−(875−r)

​

 

N→11,127

1397

​

 

∴N=127

Sum of digit =1+2+7=10