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V, W, X, Y आणि Z या पाच व्यक्तींमध्ये प्रत्येकाचे एक निश्चित वय आहे. X चे वय Y च्या वयाच्या चार पट आहे. V चे वय X च्या वयाच्या बरोबर आहे. Y चे वय Z च्या वयाच्या एक तृतीयांश आहे. W चे वय V च्या वयाच्या अर्धे आहे. जर Z चे वय 12 असेल, तर W चे वय किती आहे?
15
4
8
6
8
Map all ages to a single variable (Y) based on the relationships provided: X=4Y, V=4Y, Z=3Y, W=V/2=2Y. Since Z=12, Y=4, therefore W=2(4)=8.
Map all ages to a single variable (Y) based on the relationships provided: X=4Y, V=4Y, Z=3Y, W=V/2=2Y. Since Z=12, Y=4, therefore W=2(4)=8.
Establish Y as the Base Variable
Given Z = 12. Since Y is one-third of Z, Y = 12 / 3 = 4.
Determine X and V
X is four times Y, so X = 4 * 4 = 16. Since V's age equals X, V = 16.
Calculate W
W is half the age of V, so W = 16 / 2 = 8.
A: 15 is incorrect as it does not follow the derived relationships. B: 4 is the age of Y, not W. D: 6 is an arbitrary value not supported by the equations.
C is correct because according to the provided ratios, if Z=12 then Y=4, X=16, V=16, and W = V/2 = 8.
In age-related problems, always express all variables in terms of one constant or the youngest member to simplify calculations.