Question

aflati cel mai mare numar natural la care daca impartim pe 100,150 si 250 obtinem resturile 10;15 si 25.

Answer 1

100 : a = x rest 10 ==> ax = 100-10 = 90
150 : a = y rest 15 ==> ay = 150-15 = 135
250:a = z rest 25 ==> az = 250-25 = 225

90 = 2×5×3^2
135=3^3 × 5
225 = 3^2 × 5^2
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3^2 × 5 = 9 × 5 = 45 (numarul cautat)

100 : 45 = 2 rest 10
150 : 45 = 3 rest 15
250 : 45 = 5 rest 25