Question

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

Answer 1

108

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.