The sum of a pair of positive integers is 336 and the H.C.F. is 21. The number of such possible pairs is :

• 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)
• 12 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)