SOLUTION: .A old lady had three grandchildren,the difference between two children was 3 years. Her eldest grandchild was 3 times elder than the youngest one and the elder one 2 years more th

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Question 484368: .A old lady had three grandchildren,the difference between two children was 3 years. Her eldest grandchild was 3 times elder than the youngest one and the elder one 2 years more than the sum of the other two. Then wat is the age of the eldest child?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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.A old lady had three grandchildren,
a, b, & c
:
the difference between two children was 3 years.
b - c = 3
b = (c+3)
:
Her eldest grandchild was 3 times elder than 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