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01 May 2015, 13:50
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Hello Konstantin1983.
I've found another task that exploit this trick with wording "difference between X and Y".
Think it'll be interesting for you )
a-certain-salesman-s-yearly-income-is-determined-by-a-base-126533.html[/quote]
Hello Harley1980!
Thanks! Really good question! Absolute Value is a trick here
I've found another task that exploit this trick with wording "difference between X and Y".
Think it'll be interesting for you )
a-certain-salesman-s-yearly-income-is-determined-by-a-base-126533.html[/quote]
Hello Harley1980!
Thanks! Really good question! Absolute Value is a trick here
12 Jan 2017, 10:42
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Each Game Players
2 n
5 m
Total Points 50
Case m and n are
1 m - n = 5-2 = 3
m = 0 , n = 1 ; difference 2
m = 1, n = 0 ; difference 5
B
2 n
5 m
Total Points 50
Case m and n are
1 m - n = 5-2 = 3
m = 0 , n = 1 ; difference 2
m = 1, n = 0 ; difference 5
B
24 Sep 2019, 15:36
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Bunuel
We can create the equation:
2n + 5m = 50
Since 2n and 50 are even, then 5m must also be even. Since 5 is not even, m must be even. Therefore, m could be 0, 2, 4, 6, 8, 10.
Since we want the least possible difference between n and m, let’s let m = 6, and we have:
2n + 5(6) = 50
2n = 20
n = 10
We see the difference between n and m is 4.
If m = 8, then we have:
2n + 5(8) = 50
2n = 10
n = 5
We see the difference between n and m is 3.
If m = 10, then we have:
2n + 5(10) = 50
2n = 0
n = 0
We see the difference between n and m is 10.
Thus, the smallest possible difference between n and m is 3 (when n = 5 and m = 8).
Answer: B
