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Three times the age of Abel is four more than the age of Asare.In three years,the sum of their ages will be 30 years.Find their present ages

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mhanifa

Answer:

  • Abel is 7 and Asare is 17 years old

Step-by-step explanation:

Let the age of Abel is x and age of Asare is y.

Three times the age of Abel is four more than the age of Asare:

  • 3x = y + 4

And

In three years, the sum of their ages will be 30 years:

  • x + 3 + y + 3 = 30

We got two equations.

Simplify and solve by substitution:

  • y = 3x - 4
  • x + y = 24

  • 3x - 4 + x = 24    Substitute y
  • 4x - 4 = 24
  • 4x = 28
  • x = 7

Find y:

  • 17 + y = 24
  • y = 7

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