Question

a+b+c+d=2046. a:b=2 rest1. b:c=3 rest2. c:d=4 rest 3. a,b,c,d=?​

Answer 1

Răspuns:

Explicație pas cu pas:

a + b + c + d = 2046

a = 2b + 1

b = 3c + 2

c = 4d + 3

b = 3*(4d + 3) + 2 = 12d + 9 + 2 = 12d + 11

a = 2*(12d + 11) + 1 = 24d + 22 + 1 = 24d + 23

24d + 23 + 12d + 11 + 4d + 3 + d = 2046

41d + 37 = 2046

41d = 2046 - 37 = 2009

d = 2009 : 41 = 49

c = 4*49 + 3 = 196 + 3 = 199

b = 3*199 + 2 = 597 + 2 = 599

a = 2*599 + 1 = 1198 + 1 = 1199