If X : Y : Z = 1 : 2 : 3 and, X2 + Y2 + Z2 = 224, then what is the value of X + Y + Z?

48 32 36 24

24

If X : Y : Z = 1 : 2 : 3 X2 + Y2 + Z2 = 224, then what is the value of X + Y + Z Let the three numbers = 1m, 2m, 3m Now according to the question, (1m)2 + (2m)2 + (3m)2 = 224 = 1m2 + 4m2 + 9m2 = 224 = 14m2  = 224 m2 = 16 m = 4 Now, X + Y + Z = 1×4 + 2×4 + 3×4 = 24