The ages of 3 men are in ration 3,4,5 if the difference between the oldest and youngest is 18 yes find the sum of ages

Mathematics

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Answer

108 years108 \text{ years}

Step-by-step solution

5 steps

Let the ages of the three men be 3x3x, 4x4x, and 5x5x, where xx is a common multiplier.

  1. Identify the oldest and youngest ages.

    The oldest age is $5x$.
    The youngest age is $3x$.

  2. Set up an equation based on the given difference.

    The difference between the oldest and youngest age is 18 years.

    5x−3x=185x - 3x = 18
  3. Solve for xx.

    2x=182x = 18 x=182x = \frac{18}{2} x=9x = 9
  4. Calculate the individual ages of the men.

    First man's age: 3x=3×9=273x = 3 \times 9 = 27 years
    Second man's age: 4x=4×9=364x = 4 \times 9 = 36 years
    Third man's age: 5x=5×9=455x = 5 \times 9 = 45 years

  5. Find the sum of their ages.

    Sum of ages =27+36+45= 27 + 36 + 45
    Sum of ages =63+45= 63 + 45
    Sum of ages =108= 108 years

    The sum of their ages is 108 years108 \text{ years}.

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