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The sum of two numbers is 1215 and their HCF is 81. How many such pairs of numbers can be formed?
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- 3
- 4
- 6
- None of these
Correct Option: B
Let the numbers be 81p and 81q , where p and q are co-prime.
∴ 81p + 81q = 1215
| ⇒ p + q = | = 15 | 81 |
Possible pairs = (1 , 14), (2 , 13), (4 , 11), (7 , 8)
Hence , required answer is 4.
