If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and (a + b + c) = 14, then find the value of c.

2(a+b+c) = (6x+7x+8x) = 21x। दिया गया है a+b+c = 14, इसलिए 28 = 21x => x = 4/3। a+b = 6x = 6 * (4/3) = 8। c = (a+b+c) - (a+b) = 14 - 8 = 6।