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What is the least five-digit positive integer which is congruent to 5 (mod 15)?

 Jul 21, 2020
 #1
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Well the number should be in the form 15x+5 where x is any integer. It has to be the least five digit positive integer. The smallest one is 10000 so we form an inequality.

 

15x+5>=10000

15x>=9995

x>=666 1/3

 

We round 666 1/3 up to 667. Substtute 667 into 15x+5 to get 10010.

 Jul 21, 2020
 #2
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Thanks

 Jul 21, 2020

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