If X : Y : Z = 1 : 2 : 3 and, X2 + Y2 + Z2 = 224, then what is the value of X + Y + Z?
Answer & explanation
Correct answer: option 4
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