There are 3 numbers, a, b, c, and 2 divisors e, and f.

a and c are one pair, and b and c are another pair. c is common to both pairs.

e is the divisor of a and c which gives a number with thesameremainder.

f is the divisor of b and c which gives a number with thesameremainder.

Example:

a= 1100 b= 678 c= 500 e= 200 f= 89

Now a/e and c/e (Pair 1)

1100/200 = 5.5

500/200 = 2.5

common remainder of0.5

Now b/f and c/f (Pair 2)

678/89 = 7.61

500/89 = 5.61

common remainder of0.61

Question; Can there be more than one value for e and f ?

If a and b are known, can you calculate c ? How ?

I don't know where to start on this. Your help and suggestions are needed.

Thank you.