Your age can not be twice your mother's age, because that means you are older than your mother, or your age is double the age of your mom. It should be the other way around.

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Representation:

Your age ⇒ x

Your mother's age: 2x (twice your age)

Example of a problem to apply to this:

My mother's age is (present) twice my age. The sum of our ages is 60. Find our ages.

Equation:

(My age) + (mother's age) = 60

(my age) + (twice my age) = 60

(x) + (2x) = 60

3x = 60

3x/3 = 60/3

x = 20

Substitute:

My age, x = 20 years

My mother, 2x = 2(20) = 40 years

ANSWER: My age is 20 years, and my mother is 40 years old.

Check: Sum of ages is 60.

20 + 40 = 60

60 = 60 (True)