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Q6. My mother is 12 years more than twice my age. After 8 years, my mother’s age will be 20 years less than three times my age. Find my age and my mother’s age.

Respuesta :

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Answer:

your current age is 16 years, and your mother's current age is 44 years.

Step-by-step explanation:

To solve this problem, we need to set up two equations based on the given information and then solve for your age and your mother's age.

Let's define the variables:

Let x be your current age.

Let y be your mother's current age.

Given information:

Your mother is 12 years more than twice your age:

y = 2x + 12

After 8 years, your mother's age will be 20 years less than three times your age:

(y + 8) = 3(x + 8) - 20

Now, let's solve the problem step-by-step:

Step 1: Substitute the first equation into the second equation.

(2x + 12 + 8) = 3(x + 8) - 20

2x + 20 = 3x + 24 - 20

2x + 20 = 3x + 4

-x = -16

x = 16

Step 2: Find your mother's age.

Substitute x = 16 into the first equation:

y = 2(16) + 12 = 44

Therefore, your current age is 16 years, and your mother's current age is 44 years.

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