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The average of three numbers is 28, the first number is half of the second, the third number is twice the second, then the third number is
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- 48
- 36
- 24
- 18
- 48
Correct Option: A
Let the second number be p.
| Then first number = | ||
| 2 |
and third number = 2p
| According to the question, | + p + 2p = 28 × 3 | |
| 2 |
| ⇒ | = 28 × 3 | |
| 2 |
⇒ 7p = 28 × 3 × 2
| ⇒ | = 24 | |
| 7 |
∴ Third number = 2 × 24 = 48
Second method to solve this question with the help of given formulas :
| Here, a = | , b = | , X = 28 | ||
| 2 | 2 |
| Third number = | × X | |
| 1 + b + ab |
| Third number = | 3 | × 28 | ||||||
| 1 + | + | × | ||||||
| 2 | 2 | 2 | ||||||
| Third number = | 3 | × 28 | ||
| 4 | ||||
| Third number = | = 48 | |
| 7 |