SOLUTION: Help me solve this? Jack is twice as old as Jill. In 2 years Jack will be four times as old as Jill was 9 years ago. how old are they now?

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Question 943822: Help me solve this?
Jack is twice as old as Jill. In 2 years Jack will be four times as old as Jill was 9 years ago. how old are they now?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!



Jack is twice as old as Jill.
Jack=2%2AJill....eq.1

In two years Jack will be four times as old as Jill was nine years ago.
Jack%2B2=4%2A%28Jill-9%29....eq.2
How old are they now?; solve the system:
Jack=2%2AJill....eq.1
Jack%2B2=4%2A%28Jill-9%29....eq.2....substitute Jack from eq.1

2%2AJill%2B2=4%2A%28Jill-9%29....eq.2
2%2AJill%2B2=4%2AJill-36
36%2B2=4%2AJill-2%2AJill
38=2%2AJill
38%2F2=Jill
highlight%28Jill=19%29 years old now
then
Jack=2%2AJill....eq.1
highlight%28Jack=38%29 years old now