• # question_answer The ratio of three numbers is 3 : 4 : 5 and sum of their squares is 1250. The sum of the numbers is A)  30                   B)  50      C)  60                   D)  90

[c] Let numbers be 3x, 4x, 5x $\therefore$ ${{(3x)}^{2}}+{{(4x)}^{2}}+{{(5x)}^{2}}=1250$ $9{{x}^{2}}+16{{x}^{2}}+25{{x}^{2}}=1250$ $50{{x}^{2}}=1250$ ${{x}^{2}}=25$ x = 5 $\therefore \,$ Numbers are = 15, 20, 25 Sum = 15 + 20 + 25 = 60