SOLUTION: Harold is twiCE AS OLD as jack,who is three years older than dan.if harolds age is five times dan age ,how old in years id jack

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Question 70780: Harold is twiCE AS OLD as jack,who is three years older than dan.if harolds age is five times dan age ,how old in years id jack
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let h=Harold, j=jack, and d=dan. If Harold is twice as old as jack then you could write this relationship as
2j=hFor instance if jack is 10, then harold is 20
And if jack is 3 years older than dan then it can be written as
d%2B3=j
And if harold's age is 5 times dan's age then
5d=h
First set the 2 h equations equal to each other
2j=5dSolve for d
d=%282%2F5%29j
Then plug this equation of d into d of the equation d+3=j
d%2B3=j
%282%2F5%29j%2B3=jPlug in d=%282%2F5%29j
3=j-%282%2F5%29jSubtract (2/5)j from both sides
3=%283%2F5%29jsubtract fractions
3%2A%285%2F3%29=jsolve for j
j=5
So jack is 5 years old, harold is 10, and dan is 2