Question

Aliana is a certain age, and her mother is six times as old as her. In ten years'

time, her mother will be twice as old as her. Determine Aliana's current age and
her mother's current age.

Answer 1

Allana is 2 1/2 and her mother is 15 years old.

Explanation:

Let Allana's age be x years then,

her mother's age is 6x.

Using the given information in ten years time we have the equation:-

6x + 10 = 2(x + 10)

6x + 10 = 2x + 20

6x - 2x = 20 - 10

4x = 10

x = 2 1/2

So 6x = 6 * 2 1/2 = 15.