Among three numbers, second is twice the first and also thrice the third. If the average of the three numbers is 33, then the largest number is :
Options:
A . 62
B . 72
C . 36
D . 54
Answer: Option D Answer: (d)Let the first number be x. ∴ Second number = 2x and third number = ${2x}/3$According to the question, x + 2x + ${2x}/3$ = 33 × 3 ⇒ 3x + ${2x}/3$ = 99 ⇒ ${9x +2x}/3$ = 99 ⇒ 11x = 99 × 3 ⇒ x = ${99×3}/11$= 27 ∴ Largest number = 2x = 2 × 27 = 54
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