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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 :
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- 36
- 54
- 62
- 72
- 36
Correct Option: B
Let the first number be p.
∴ Second number = 2p
And Third number = | ||
3 |
According to the question, p + 2p + | = 33 × 3 | |
3 |
⇒ 3p + | = 99 | |
3 |
⇒ | = 99 | |
3 |
⇒ 11p = 99 × 3
⇒ | = 27 | |
11 |
∴ Largest number = 2p = 2 × 27 = 54