Question 772538: fill in the blank with one of the digits 2, 5, 10, 50 (using each digit only once) to make a true statement. using the following functions x-x/x+x=50
Answer by Edwin McCravy(20060) (Show Source):
You can put this solution on YOUR website!
Let's use a different letter for all of them instead of
the same letter x
A - B/C + D = 50
Since the other 3 numbers are so much smaller than 50,
either A = 50 and -B/C + D = 0 or D = 50 and A - B/C = 0
If A = 50, then we have to make 0 out of -B/C + D using 2, 5, and 10
we can have -10/2 + 5 = 0 or -10/5 + 2 = 0, so we have these two
solutions:
50 - 10/2 + 5 = 50
50 - 10/5 + 2 = 50
Of course we can reverse the first and last terms:
5 - 10/2 + 50 = 50
2 - 10/5 + 50 = 50
So there are four solutions, or just two if you don't count swapping
the first and last terms.
Edwin
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