SOLUTION: 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?

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.

RELATED QUESTIONS
If you divide Ben's age by 2, 3, 4, 5 or 6, the remainder is 1. If Ben is less than 100,... (answered by ankor@dixie-net.com)

when you divide Brian's farther age by 2,3,4,5 or 6 the remainder is 1. if Brian's... (answered by Theo,ikleyn)

3 times Jos present age is 6 years less than his fathers present age.5 years ago the... (answered by Boreal)

carlos is 1/3 his fathers age. his father is 30 years older than carlos. how old is... (answered by chana)

If the Fathers age is 5 times his son's age. 4 years back the father was 9 times older... (answered by Theo,ikleyn,kiks)

a boy is 12 years old and is 1/3 of his fathers age. how old will his father be when the... (answered by josmiceli)

Jimmy is 3 years older than his brother Bill. The sum of 3 times Jimmy's age and twice... (answered by Stitch)

a father tells his son i was three times of your present age when you were born if... (answered by ankor@dixie-net.com)

A boy is born when his father is 27 years old. How old will he be when he is exactly... (answered by Edwin McCravy,TamiSrcKa)