Question

9. Sara and Yusuf's grandmother gives them money for Christmas every year. They share the money in the

ratio of their ages. This year their grandmother gave them R1 500 together. Sara received R675. They are both younger than 18 years old. Determine how old Sara and Yusuf are.
in​

Answer 1

Sara is 9 years old while Yusuf's is 11 years old

Explanation:

The given parameters are;

The ratio Sara and Yusuf share the money they receive = The ratio of their ages

The amount Sara and Yusuf received from their grandmother this year = R1,500

The amount of money Sara receives = R675

Therefore, the amount of money Yusuf receives = R1,500 - R675 = R825

Let 'x', and 'y' represent the ages of Sara and Yusuf

Therefore, the ratio of their ages, x/y = R675/R825) = 9/11

x·11 = y·9

x, and y < 18

When x = 9, y = 11, we get;

9·11 = 11·9

Therefore a possible solution is Sara's age = x = 9 and a possible solution for Yusuf's age, y = 9