SOLUTION: What is the least positive integer meeting each of the following conditions?
Dividing by 7 gives a remainder of 4.
Dividing by 8 gives a remainder of 5.
Dividing by 9 gives a re
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Question 1132855: What is the least positive integer meeting each of the following conditions?
Dividing by 7 gives a remainder of 4.
Dividing by 8 gives a remainder of 5.
Dividing by 9 gives a remainder of 6.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Notice that the difference in each of those cases is . (, , )
Ask yourself what would happen if you added to this number?
Well, when you divided the new number by , you would get a remainder of , which means remainder. Same thing for and .
So this new number is a common multiple of , , and . And because you are looking for the integer, the new number must be .
Since we added to the number, we have to subtract to get the number you are looking for, .
check:
divided by remainder
divided by remainder
divided by remainder
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