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Among five people named A, B, C, D and E, each has a certain age. D is four times the age of C. A is two times the age of C. D is five times the age of B. The age of B is 12. If E is thrice the age of A, what is the age of E?
90
94
92
88
90
Determine the known age first (B=12), then propagate the multiplier relations (D=5B, C=D/4, A=2C, E=3A) sequentially.
Determine the known age first (B=12), then propagate the multiplier relations (D=5B, C=D/4, A=2C, E=3A) sequentially.
Establish the base age
Given B = 12. Using D = 5 * B, D = 5 * 12 = 60.
Determine C and A
Since D = 4 * C, C = 60 / 4 = 15. Since A = 2 * C, A = 2 * 15 = 30.
Calculate E
Given E = 3 * A, E = 3 * 30 = 90.
B: 94 is incorrect as the calculation yields 90. C: 92 is mathematically incorrect based on the multipliers. D: 88 is incorrect as the sequence leads strictly to 90.
A is correct because applying the multipliers sequentially (B=12 → D=60 → C=15 → A=30 → E=90) leads directly to 90.
In age-related problems, always find the person whose age is explicitly given first and treat it as the 'root' to branch out the multipliers.
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