SOLUTION: One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of o

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Question 485405: One grand father has 3 grand children two of the age difference is 3.Eldest child age is 3 times the youngest childs age and the eldest child age is two year more than the sum of other two children. Find what is the age of the elders child?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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One Grandfather has 3 grandchildren
a, b, & c
:
the difference between two children was 3 years.
b - c = 3
b = (c+3)
:
Her eldest grandchild was 3 times the youngest one
a = 3c
:
and the elder one 2 years more than the sum of the other two.
a = b + c + 2
replace b with (c+3); replace a with 3c
3c = (c+3)+ c + 2
3c = 2c + 5
3c - 2c = 5
c = 5 yrs is the youngest
then
a = 3(5)
a = 15 yrs is the eldest
:
:
Confirm this by finding the age of b
b = 5 + 3
b = 8
Check solutions in the statement:
" the elder one 2 years more than the sum of the other two."
15 = 5 + 8 + 2