Question

What must 74,63,82,005 be divided by to get 9 as the quotient and 8 as the remainder?
pls give the correct answer

Answer 1

Step-by-step explanation:

Answer: The number divides 399,434 and 537 leaving the remainder 8,9 and 10.

Let us call this number x . Since 8–7=9–8=6–5=1 , it is clear that x+1 must be a multiple of 8 , 9 , and 6 simultaneously. Therefore, it makes sense to guess that x+1 is a multiple of LCM( 8,9,6 ). Since 8=23 , 9=32 , and 6=2×3 , we know that LCM( 8,9,6 ) =23×32=72 . Therefore, the general formula for x is x=72n−1 for any integer n . The smallest positive value of x is 71 .