SOLUTION: The sum of number is 12. If two times the greater number is substracted from 5 times the lesser number. The result is 25 what is the product of the two original numbes if the gre
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Question 172917: The sum of number is 12. If two times the greater number is substracted from 5 times the lesser number. The result is 25 what is the product of the two original numbes if the greater one is doubled and the lesser one is cut in half? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Two numbers, x & y
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Write an equation for each statement:
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"The sum of number is 12."
x + y = 12
x = (12-y)
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"If two times the greater number is subtracted from 5 times the lesser number, the result is 25"
5y - 2x = 25
Substitute (12-y) for x, find y
5y - 2(12-y) = 25
5y - 24 + 2y = 25
5y + 2y = 25 + 24
7y = 49
y =
y = 7
then
x = 12 - 7 = 5
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However, this make y the greater number, anyway charging ahead we have:
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what is the product of the two original numbers if the greater one is doubled and the lesser one is cut in half?"
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Here again, if you double one number, & halve the other they are no longer original, are they? Anyway do what they say:
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2(7) * .5(5) =
14 * 2.5 = 35
but if you reverse it
2(5) * .5(7)
10 * 3.5 = 35, the same solution
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A strange problem.
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