division

If a number is successively divided by 9,11,13 then it leaves a Remainder of 8,9 and 8 respectively.

Find the smallest number that satisfies this condition.




Answer:

9[11(13p + 8) + 9] + 8

= 9[143p + 88 + 9] + 8

= 9[143p + 97] +8

= 1287p + 873 + 8

= 1287p + 881

The smallest value of number = 2168 for p = 1

Check:

2168/9 = 240 (8/9)

240/11 = 21 (9/11)

21/13 = 1 (8/13)