Jason noticed that his house number is exactly divisible by 7. His friend Sam pointed out that it is also divisible by 18. If his house number is a 4-digit number, find the smallest number that could be his house number.

Mathematics · College · Tue Nov 03 2020

Answered on

Given :

House number of Jason is divisible by 7 and 18.

So, L.C.M of 18 and 7 = 18 ×7

= 126

It is given that house number of Jason is of 4 digit.

So, smallest number possible = 1000/126

Here, remainder is 118. So, to get the smallest number which is divisble by 126. We need to add 8 to 1000

So, smallest number = 1000 + 8

= 1008

Hence, smallest 4-digit number that could be Jason's house number is 1008.

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