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| Math Central | Quandaries & Queries |
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william, a student: let a, b, c and n be positive integers. If a+b+c=(19)(97) and a+n=b-n=c/n, compute the value of a. |
Hi William,
It is best if you first write a, b & c in terms of n.
Looking at c, we know n must either be 17 or 95 or else c is not a positive integer. Now we need to determine whether 17 or 95 will result in a positive integer value for a.
The n value of 95 results in a negative a value so we discard this answer so the value of a is 80.
Hope this Helps,
Janice
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