Question 1068207: Peter,John,Molly and Stan are 100years old combined.
Stan is 4 years younger than Peter. Johns age is 1 1/2 times Mollys age.
2 years ago was Stans age 6 times Mollys age.
How old are Peter, John,Molly and Stab separate?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Peter,John,Molly and Stan are 100years old combined.
Stan is 4 years younger than Peter. Johns age is 1 1/2 times Mollys age.
2 years ago was Stans age 6 times Mollys age.
How old are Peter, John,Molly and Stab separate?
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p + j + m + s = 100
s = p-4
j = (3/2)m
s-2 = 6(m-2)
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p + j + m + s = 100
p + 0 + 0 - s = 4
0 + 2j-3m + 0 = 0
0 + 0 +6m - s = 10
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Use any method you know to solve this system to get:
p = 42
j = 12
m = 8
s = 38
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I used my TI-84+ Matrix function to get the solution.
Cheers,
Stan H.
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