Question

Please help.

Answer 1

Answer:

The sister's age is 8 and the brother's age is 4

Step-by-step explanation:

Let's make:

x = age of the brother

y = age of the sister

x - 2 = age of the brother two years ago

y - 2 = age of the sister two years ago

Two years ago, the age of the sister was three times greater than the age of the brother:

y - 2 = 3(x - 2)

Now, the relation doubles:

y = 2x

Substituting in the first equation:

2x - 2 = 3(x - 2)

Operating:

2x - 2 = 3x - 6

Subtracting 3x -2:

2x - 3x = 2 - 6 = -4

Solving:

x = 4

y =2x = 8

The sister's age is 8 and the brother's age is 4