SOLUTION: Granny has 10 grandchildren. Alice is the eldest. One day, Granny noticed that her grandchildren all have different ages. if the sum of her grandchildren ages is 180. what is the y

Question 1022936: Granny has 10 grandchildren. Alice is the eldest. One day, Granny noticed that her grandchildren all have different ages. if the sum of her grandchildren ages is 180. what is the youngest Alice could be?....
Answer by FrankM(1040) (Show Source): You can put this solution on YOUR website!
Ages are
X,X+1,X+2.........X+9
This adds to 10X+45
10X+45=180
10X=135 or X=13.5, so, we have ages
13.5 , 14.5 ....... 22.5, but such problem calls for integers, we need to add .5 to top 5 ages, and subtract .5 from bottom 5.
13,14,15,16,17,19,20,21,22,23
Alice is 23, and can't be younger as that would force another child to be older. And no lower age is available to her.
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