Răspuns:
a = 90
b = 120
c = 150
d = 200
e = 250
Explicație pas cu pas:
ma (a,b,c,d,e) = 162
ma (a,b,c,d,e) = (a+b+c+d+e)/5 = 162 =>
a+b+c+d+e = 162·5 = 810
a/3 = b/4 = c/5 => b = 4a/3 ; c = 5a/3
c/3 = d/4 = e/5 => d = 4c/3 ; e = 5c/3 =>
d = 4·(5a/3)/3 = 20a/9
e = 5·(5a/3)/3 = 25a/9
a+4a/3+5a/3+20a/9+25a/9 = 810 I·9 =>
9a+12a+15a+20a+25a = 7290 =>
81a = 7290 => a = 7290:81 = > a = 90
b = 4·30 => b = 120
c = 5·30 => c = 150
d = 20·10 => d = 200
e = 25·10 => e = 250
90+120+150+200+250 = 810 = corect
