The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:
a)20
b)30
c)48
d)58

• The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8,
  ratio of these 3 numbers is 10:15:24.
  
  second no = 98*15/49 = 30 ... option b).
• 13 years agoHelpfull: Yes(10) No(4)
• Given,
  
  A:B:C=98
  
  A:B=2:3--------------------Eq.1 X 5
  B:C=5:8--------------------Eq.2 X 3
  
  Now Multiply Eq.1 by 5 and Eq.2 by 3 to get B common
  
  Then
  
  A:B=10:15
  B:C=15:24
  
  A:B:C=10:15:24
  
  10X+15X+24X=98
  
  49X=98
  X=2
  
  Then Second Number is 15X i.e
  
  B=15x2=30 Ans
• 8 years agoHelpfull: Yes(5) No(0)
• a : b = 2 : 3
  
  b : c = 5 : 8 = (5*3/5 : 8*3/5)
  = 5 : 24/5
  therefore,
  a : b : c = 2 : 3 : 24/5 = 10 : 15 : 24
  here b ratio is 15/49
  so b = (15/49) x 98 = 30
  option b is the answer
• 10 years agoHelpfull: Yes(1) No(0)
• let 3 nos. be a,b,c...
  a/q a+b+c=98..(1)
  a/b=2/3...
  3a=2b ....and b/c=5/8
  8b=5c
  so using (1)
  2/3b+b+8/5b=98
  b=30
• 8 years agoHelpfull: Yes(1) No(0)
• let assume that the three numbers are x: y: z
  x : y = 2 : 3 .........(1)
  y : z = 5 : 8 .........(2)
  we want to equal the Y in both of the equation
  so equation (1) * 5 = 10 : 15
  equation (2) * 3 = 15 : 24
  now the three number ratio is x : y : z = 10 : 15 : 24
  sum of the ratio are = 10 + 15 + 24 = 49
  for the second number = (15/ 49) * 98 = 30
  so, the answer is 30
• 7 years agoHelpfull: Yes(0) No(0)