a,b,c are positive integers, 1/a + 1/b + 1/c= 29/72 and a

• Q) If a, b, c are positive integers, such that 1/a + 1/b + 1/c = 29/72 and c < b < a < 60, how many sets of (a, b, c) exist?
  
  a. 3 b. 4 c. 5 d. 6
  
  Ans : a. only three sets exist.
  1. (a=27, b=9, c=4)
  2. (a=36, b=8, c=4)
  3. (a=9, b=8, c=6)
  if any other solution possible then submit your solution.
  if this solution helpful then please click on yes. thanks.
• 8 years agoHelpfull: Yes(11) No(3)
• Lcm of abc should be 72=(2^3)*(3^2).
  abc=72,let a=8,b=9 so,c will be 6.
  This will be answer as per your question.
• 8 years agoHelpfull: Yes(5) No(3)
• Q) If a, b, c are positive integers, such that 1/a + 1/b + 1/c = 29/72 and c < b < a < 60, how many sets of (a, b, c) exist?
  
  a. 3 b. 4 c. 5 d. 6
  
  Ans is d.6
• 8 years agoHelpfull: Yes(4) No(8)
• Q) a,b,c are positive integers, 1/a + 1/b + 1/c= 29/72 and a
• 8 years agoHelpfull: Yes(0) No(9)
• a=72bc / (29bc-72(b+c))
  Now Factor of 72= 2,3,4.6,8,9,36,72
  So take any combination of (b,c) from above set to find value of a. If a comes to be an integer and if it satisfies the condition c
• 8 years agoHelpfull: Yes(0) No(3)