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15 vote

The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is

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The sum of a pair of positive integer is 336 and their H.C.F. is 21. The number of such possible pairs is
1). 2
2). 3
3). 4
4). 5

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2 answers

29 vote
Answered by on | Votes 29 |
3 : - option 3

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31 vote
Answered by on | Votes 31 | | Last Updated: 2021-07-28 15:47:10

Let the numbers be 21x and 21y where x and y are prime to each other.

21x + 21y = 336

21 (x + y) = 336

x + y =$\frac{336}{21}$ = 16

Possible pairs = (1, 15), (5, 11), (7, 9), (3, 13)

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