Question

What is number when divided by 10 leaves remainder 9 and when divided by 9 leaves remainder 8 and when divided by 7 leaves remainder 6 so on till 1

Answer 1

Answer:

Step-by-step explanation:

Since the remainder and divisor differ by 1 in each case

So, we find the LCM of (10-1), (9-1), (8-1), .......(2-1)

It just means to find the LCM of

9, 8, 7, 6, 5, 4, 3, 2, 1

LCM = 2520

thus, the required number = 2520-1 = 2519

Hence, 2519 is the number when divided byb10 leaves remainder 9, when divided by 9 leaves remainder 8, when divided by 8 leaves remainder 7 and so on.