SOLUTION: Steve is 25 years older than his son John. In ten years, Steve will be twice John's age. How old are Steve and John now? Write a system of equations to model the situation.
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Question 550565: Steve is 25 years older than his son John. In ten years, Steve will be twice John's age. How old are Steve and John now? Write a system of equations to model the situation. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Steve is 25 years older than his son John. In ten years, Steve will be twice John's age. How old are Steve and John now? Write a system of equations to model the situation.
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Equation:
s = j + 25
(s+10) = 2(j+10)
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Substitute for "s" and solve for "j":
(j+25+10) = 2j+20
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j+35 = 2j+20
j = 15 (John's age now)
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Solve for "s":
s = j+25
s = 15+25 = 40 (Steve's age now)
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Cheers,
Stan H.