Question 883650: when you divide katie father age by 2,3,4,5,6 the remainder is 1. if his fathers age is less than 100, how old is he?
Answer by JulietG(1812)   (Show Source):
You can put this solution on YOUR website! Find the greatest number under 100 with those factors, and then add 1.
We can discount 2 and 3 because they multiply to 6. We know that the number must be even (using 2 as a factor) and must end in 0 (factor of 5 that is even).
6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96 -- 30,60,90 meet the criteria, all of which are divisible by 5. What about 4? 90 is not evenly divisible by 4.
30 or 60?
Let's try 60 since we're looking for the greatest number.
60/6=10
60/5=12
60/4=15
60/3=20
60/2=30
Success!
Add 1 for the remainder. Katie's father is 61.
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