Question 581974: The krane children were born two years apart when Michael, the youngest of the six krane chldren was 1 year old. The sum of the their ages of all the children was 1+3+5+7+9+11 or 36, a perfect square. how many years old was Michael the next time the sum of the children's ages was a perfect square?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! The krane children were born two years apart when Michael, the youngest of the six krane chldren was 1 year old.
The sum of the their ages of all the children was 1+3+5+7+9+11 or 36, a perfect square.
how many years old was Michael the next time the sum of the children's ages was a perfect square?
:
Note that 36/3 = 12
1 + 11 = 12
3 + 9 = 12
5 + 7 = 12
:
Using that knowledge find the next square that is even, and can be evenly divided by 3
not 49
not 64
not 81
not 100
not 121
try 144
144/3 = 48
23 + 25 = 48
21 + 27 = 48
19 + 29 = 48
:
Micheal is 19
19 + 21 + 23 + 25 + 27 + 29 = 144 is the next perfect square
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