Question

When 7897, 8110, 8536 are divided by the greatest number x, then the remainder in each case is same. The sum of the digits of x.

Answer 1

213 is greatest number When 7897, 8110, 8536 are divided the remainder is same

Step-by-step explanation:

let say reminder ÷ r

then 7897 - r = ax

8110-r = bx

8536- r = cx

213 = (b-a)x

639 = (c-a)x

426 = (c-b)x

213 is common factor in all these

7897 = 213×37 + 16

8110 = 213×38 + 16

8536 = 213 × 39 + 16

hence it's clear that value of x = 213

213 is greatest number When 7897, 8110, 8536 are divided the remainder is same