Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number.
| Question | Two-third of a positive number and 16/216 of its reciprocal are equal. Find the positive number. | |
| Type | multiple_choice | |
| Option | 9/25 | incorrect |
| Option | 14/4 | incorrect |
| Option | 4 /12 | correct |
| Option | 144/25 | incorrect |
| Solution | Let the positive number be x. Then, 2/3 x = 16/216 * 1/x x2 = 16/216 * 3/2 = 16/144 x = √16/144 =4 /12. | |