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Maths Puzzle
The sum of a pair of positive integers is 336 and the H.C.F. is 21. The number of such possible pairs is :
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- The sum of a pair of positive integers is 336 and the H.C.F. is 21.
It means numbers are 21x and 21 y where x and y are relatively prime ( no common factor).
21x+21y = 336
x+y = 336/21 = 16
possible value of x,y are
1,15
3,13,
5,11,
7,9
so 4 pairs are possible.
If u consider interchanging values of x and y, u can consider as 8 pairs. - 12 years agoHelpfull: Yes(14) No(2)
- 4 pairs
(21,315), (63,273), (105,231), (147,189) - 12 years agoHelpfull: Yes(6) No(0)
- there are 8 possible values
(21,315)
(42,294)
(63,273)
(84,252)
(105,231)
126,210)
(147,189)
(168,168) - 11 years agoHelpfull: Yes(1) No(2)
- 4 pairs
(21,315), (63,273), (105,231), (147,189) - 10 years agoHelpfull: Yes(1) No(0)
- WE HAVE TO CONSIDER PRIME NUMBER PAIRS...HENCE 4 IS THE ANSWER..IF WE CONSIDER 2,14 i.e 42,294 HCF WILL DIFFER
- 8 years agoHelpfull: Yes(0) No(0)
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