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31 vote

The number of pair of positive integers whose sum is 99 and HCF is 9 is

Asked on by | Votes 31 | Views: 811 | Tags: mathematics     | hcf and lcm     | quantitative aptitude     | ssc     | Add Bounty

The number of pair of positive integers whose sum is 99 and HCF is 9 is
1). 2
2). 3
3). 4
4). 5

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2 answers

4 vote
Answered by on | Votes 4 |
I am not sure, may be 5 is correct

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38 vote
Answered by on | Votes 38 |
Let the numbers be 9x and 9y where x and y are prime to each other. According to the question, 9x + 9y = 99 9(x + y) = 99 x + y = 11 Possible pairs = (1, 10) (2, 9), (3, 8), (4, 7), (5, 6)




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