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Of three numbers, the first is 4 times the second and 3 times the third. If the average of all the three numbers is 95, what is the third number ?
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- 76
- 60
- 130
- 57
- 76
Correct Option: B
Let the third number be p,
∴ First number = 3p
| ∴ Second number = | ||
| 4 |
| According to the question, 3p + | + p = 3 × 95 | |
| 4 |
| ⇒ | = 285 | |
| 4 |
⇒ 19p = 285 × 4
| ⇒ | = 60 | |
| 19 |
Aliter : Using Rule 15,
| Here, a = 4, b = | , X = 95 | |
| 4 |
| Third Number = | X | |
| 1 + b + ab |
| Third Number = | 3 | × 95 | ||||||
| 1 + | + 4 × | |||||||
| 4 | 4 | |||||||
| Third Number = | × 95 = 60 | |
| 4 + 3 + 12 |