SOLUTION: Josh is half as old as his brother Luke. Nicola, who is exactly half-way between her two brothers, is 18. How old is Josh?

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Question 471453: Josh is half as old as his brother Luke. Nicola, who is exactly half-way between her two brothers, is 18. How old is Josh?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Josh is half as old as his brother Luke. Nicola, who is exactly half-way between her two brothers, is 18.
How old is Josh?
:
Let j = J's age
then
.5j = Bro's age
and
.5j = the difference between them
:
Bro's age + half of the difference between them is Nicola's age
.5j + .5(.5j) = 18
.5j + .25j = 18
.75j = 18
j = 18%2F.75
j = 24 yrs is Josh's age
:
:
Check: Bro's age = 12 yrs, Nicola's age, 18, is halfway between 12 and 24