Correct option is A
Solution to Triad Selection Problem
The objective is to identify the triad that follows the same rule as the given triads:
(8, 9, 7) and (24, 13, 35).
The rule provided is that in each triad, the sum of the second and third numbers should be twice the first number.
Let's verify each option to see which one matches this rule.
Given Triads Analysis
Triad: (8, 9, 7)
For this triad:
- Sum of the second and third numbers: 9 + 7 = 16
- Twice the first number: 2 × 8 = 16
Since both values match, this triad follows the rule.
Triad: (24, 13, 35)
For this triad:
- Sum of the second and third numbers: 13 + 35 = 48
- Twice the first number: 2 × 24 = 48
This also follows the rule.
Options Analysis
Option A: (17, 11, 23)
For this option:
- Sum of the second and third numbers: 11 + 23 = 34
- Twice the first number: 2 × 17 = 34
This option follows the rule.
Option B: (21, 12, 32)
For this option:
- Sum of the second and third numbers: 12 + 32 = 44
- Twice the first number: 2 × 21 = 42
This option does not follow the rule.
Option C: (11, 15, 19)
For this option:
- Sum of the second and third numbers: 15 + 19 = 34
- Twice the first number: 2 × 11 = 22
This option does not follow the rule.
Option D: (28, 19, 56)
For this option:
- Sum of the second and third numbers: 19 + 56 = 75
- Twice the first number: 2 × 28 = 56
This option does not follow the rule.
Conclusion
After evaluating all the options, only Option A (17, 11, 23) follows the rule, where the sum of the second and third numbers equals twice the first number.
Therefore, the correct answer is:
(A) (17, 11, 23)