SOLUTION: What is the least positive number that you can divide by 7 and get a remainder of 4, divide by 8 and get a remainder of 5, and divide by 9 and get a remainder of 6?

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Question 114886This question is from textbook Glencoe mathematics applications and concepts course 1
: What is the least positive number that you can divide by 7 and get a remainder of 4, divide by 8 and get a remainder of 5, and divide by 9 and get a remainder of 6? This question is from textbook Glencoe mathematics applications and concepts course 1

Answer by rajagopalan(174) About Me  (Show Source):
You can put this solution on YOUR website!
The divisors are 7, 8, 9
LCM = 7x8x9=56x9=504
So 504 will yield a remainder 0 for all cases
So to obtain Remainder 4 for operation with 7 deduct (7-4)=3 from 504
The Required number is =504-3=501
THe same way u deduct 3 for cases 8 and 9
Answer 501
Cheers