the ages of three men are in the ratio 3:4:5.if the difference between the age of the oldest and the youngest is 18years, fine d the sum of the age of the three men

Respuesta :

Answer:

108

Step-by-step explanation:

Givens

  • let the oldest one = 5x
  • Let the youngest one = 3x
  • Let the middle one = 4x

Equation

  • 3x + 18 = 5x  

Solution

  • 3x + 18 = 5x                         Subtract 3x from both sides
  • 3x - 3x + 18 = 5x - 3x          Combine
  • 18 = 2x                                 Divide by 2
  • 18/2 = 2x/2                          Divide
  • x = 9

Answer

  • 3x = 3*9 = 27
  • 5x = 5*9 = 45
  • 4x = 4*9 = 36
  • The sum is 108

Comment

This is a very tricky problem. It is not the usual way that 3 part ratios are handled. Thanks for posting.