Question

1343:x=n rest 69
1509:x=m rest 53
1982:x=p rest 71
x=?

Answer 1

1343:x=n rest 69
1509:x=m rest 53
1982:x=p rest 71

nX = 1343-69 = 1 274
mX = 1509 - 53 = 1456
pX = 1982 - 71 = 1911

1274 = 2 × 7 × 91
1456 = 2^4 × 91
1911 = 3 × 7 × 91
c.m.m.d.c = 91

avem conditia n > 71
X = 91 (numarul cautat)

1343 : 91 = 14 rest 69
1509 : 91 = 16 rest 53
1982 : 91 = 21 rest 71