Question

Ziad tells his son Marc: " This year my age is triple yours, but in 10 years, it will be the double". Find their ages.​

Answer 1

Ziad is 30 years old.

Marc is 10 years old.

Explanation:

We will use m to represent Marc's age this year, and z to represent Ziad's age this year.

This year:

z = 3m

To show their relative ages in ten years time:

z + 10 = 2(m+10)

We can rearrange this to make m the subject.

z + 10 = 2m + 20

z = 2m + 10

We also know that m = 3z. We can substitute this value into our equation.

3m = 2m + 10

m = 10

Use z = 3m to find that z = 30.