Question

Two numbers 11284 and 7655, when divided by a certain number of three digits, leaves the same remainder. The sum of digits of such a three-digit number is (1) 8 (2) 9 (3) 10 (4) 11

Answer 1

Answer:

4) 11

Step-by-step explanation:

Total Numbers = 2 (Given)

Number one = 11284 (Given)

Number two = 7655 (Given)

Let the remainder in each case be = x

Thus, then (11284 - x) and (7655 - x) are exactly  divisible by that three digit number

.Therefore, the difference will be =(11284−x)−(7655−x)=3629

= 19×191

Three digit no. = 191

Sum of digits of the three digit number = 1 + 9 + 1 = 11

Thus, the required sum of digits of such a three-digit number is 11.