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  1. The number of pair of positive integers whose sum is 99 and HCF is 9 is
    1. 2
    2. 3
    3. 4
    4. 5
Correct Option: D

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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