Question

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

Answer 1

• Abel is 7 and Asare is 17 years old

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