SOLUTION: amandas age is 8 yrs older than kim. if the product of thier age is 105 yrs, what are their ages?

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Question 313048: amandas age is 8 yrs older than kim. if the product of thier age is 105 yrs, what are their ages?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
amandas age is 8 yrs older than kim. if the product of thier age is 105 yrs, what are their ages?
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Equations:
a = k + 8
ak = 105
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Substitute for "a" and solve for "k":
k(k+8) = 105
k^2 + 8k - 105 = 0
(k+15)(k-7) = 0
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Positive Solution:
k = 7 (Kim's age now)
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Since a = k+8, a = 15 (amanda's age now)
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Cheers,
Stan H.