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Thursday, June 4, 2009
Two rich friends
One friend is saying to another: "If you give me $100, I will be twice richer than you." To this, second friend replied: "If you give me $10, I will be six times richer than you." How much each of the friends has? (from the old Russian puzzle book)
3 comments:
The first friend has 40
The second friend has 170
If the first friend gives 100 to the second friend then:
140 and 70 first friend got twice as much.
if the second friend gives 10 to the first friend then:
30 and 180 the second friend got 6 times as much.
if x is a first person salary and y is the second
then x+100=(y-100)*2 => x=2y-300
(x-10)*6=y+10 => 6x=y+70 => 6(2y-300)=y+70
when you solve those 2 equesions you get that
x=40 and y is 170
Bravo, Alin and Marina - two alternative explanations and the same answer.
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