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| Math Central | Quandaries & Queries |
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Question from khodr, a parent: find the smallest number (>3) that , when divided by 6 , 8 , 15 , and 18 , gives a remainder of 3. |
We'll use a simpler problem of the same type for an example. Find the smallest number (>1) that when divided by 4 or by 6 gives the remainder 1.
First experiment. Test every number INCLUDING 1 from (say) 1 to 30 to find out which ones work. (Yes, they said not to use 1. So don't tell them you did! Find out why they said not to.)
Do you see a pattern? (Note that 13 is one answer, so it's not the very simplest pattern that might occur to you.
Good Hunting!
RD
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