The ages of three boys Kofi, Yaw and Kwaku are in the ratio 2:3:5. If the difference between Kofi's age and kwaku's age is 15years, find the ages of the three boys?​

Respuesta :

Answer:

Age of Kofi = 10 years

Age of Yaw = 15 years

Age of Kwaku = 25 years

Step-by-step explanation:

Framing algebraic equations and solving:

  Ratio of ages = 2 : 3 :5

Age of Kofi = 2x

Age of Yaw = 3x

Age of Kwaku = 5x

Difference between Kofi's age and Kwaku's age = 15 years

5x - 2x  = 15 years

Combine like terms,

       3x  = 15

Divide both sides by 3,

         x = 15 ÷ 3

        x = 5

Age of Kofi = 2*5 = 10 years

Age of Yaw = 3*5 = 15 years

Age of Kwaku = 5*5 = 25 years