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 the same remainder.
f is the divisor of b and c which gives a number with the same remainder.
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 of 0.5
Now b/f and c/f (Pair 2)
678/89 = 7.61
500/89 = 5.61
common remainder of 0.61
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.