Grandma's first remark on seeing her granddaughters was "my how much you've both grown! How old are you now?"

Juanita loved to play with number patterns and said: "See if you can figure it out, Grandma. You will say my age, Jessica's age and our cousin Jasmine's age if you count by 2's and you count by 3's. However, if you divide Jessica's age by 5 you get a remainder of 1, my age divided by 5 gives a remainder of 2, and Jasmine's age divided by 5 gives a remainder of 3." Grandma thought about what Juanita had said and then replied, "That's interesting, because if you count by 2's and by 3's you'll say my age and if you divide by 5 you'll get a remainder of zero."

"Humm, that's what Mom said about her age too!"

So, how old are Juanita, Jessica, Jasmine, Grandma and Mom if you also know that Mom is half the age of Grandma?

6th, 7th, 8th Grades Problem: Grandpa's Visit

After listening to all of these puzzling answers, Grandpa inquired about the ages of the three family friends who where joining them for dinner. After a bit of thought, Juanita said "The product of their ages is the same as Grandma's age and the sum of their ages is a prime number."Grandpa thought for a minute and then said he needed some help in figuring out the problem. So just to be helpful, Juanita added, "None of their ages is prime."

How old are the friends who are joining them for dinner?