Răspuns :
a+b+c=504
a/b=4/3
a=4b/3
b/c=9/7
b=9c/7
a=4 *9c/7 /3= 36c/7 /3= 36c/7 *1/3= 12c/7
12c/7 +9c/7 +c=504 aducem la acelasi numitor
12c+9c+7c=3528
28c=3528
c=126
a=12 *126/7= 12*18=216
b=9*126/7= 9*18=162
a/b=4/3
a=4b/3
b/c=9/7
b=9c/7
a=4 *9c/7 /3= 36c/7 /3= 36c/7 *1/3= 12c/7
12c/7 +9c/7 +c=504 aducem la acelasi numitor
12c+9c+7c=3528
28c=3528
c=126
a=12 *126/7= 12*18=216
b=9*126/7= 9*18=162
a,b si c
a / b = 4 / 3
b / c = 9 / 7
a + b + c = 504
----------------------
a = 4b / 3
b = 9c / 7
4b/3 + 9c/7 + c = 504 => 28b + 27c + 21c = 21 * 504 = 10584 => 28b + 48c = 10584
252c + 336c = 74088 => 588c = 74088 => c = 126
b = 162
a = 216
a / b = 4 / 3
b / c = 9 / 7
a + b + c = 504
----------------------
a = 4b / 3
b = 9c / 7
4b/3 + 9c/7 + c = 504 => 28b + 27c + 21c = 21 * 504 = 10584 => 28b + 48c = 10584
252c + 336c = 74088 => 588c = 74088 => c = 126
b = 162
a = 216