Your age is 12.Age of your mother is 2 years more than 4 times your age . Find the answer in algebraic expression

Let's define the variables:

- Let \( x \) represent your age.
- Let \( y \) represent your mother's age.

According to the problem:

- Your age \( x \) is 12 years.
- Your mother's age \( y \) is 2 years more than 4 times your age.

This relationship can be written as an algebraic expression:

\[
y = 4x + 2
\]

Now, substitute your age \( x = 12 \) into the expression:

\[
y = 4(12) + 2
\]

Simplifying:

\[
y = 48 + 2 = 50
\]

So, your mother's age is 50 years. 

Would you like to go into more detail or have any questions?

Here are some related questions:

1. How would the expression change if your mother's age was 3 years more than 4 times your age?
2. What would the expression be if your mother was 5 years younger than 4 times your age?
3. How does the expression change if your age doubles in 5 years?
4. What would be the expression for your mother's age if she was twice your age plus 10 years?
5. Can you create an algebraic expression if the mother's age is 3 times the sum of your age and 7?

**Tip:** When constructing algebraic expressions, start by identifying the relationships between the variables and then translate them into mathematical terms.

Your age is 12. Age of your mother is 2 years more than 4 times your age. Find the answer in algebraic expression.

Discover how to find an algebraic expression for calculating a mother's age when it is 2 years more than 4 times the child's age. This problem involves linear equations and is suitable for students in Grades 6-8.

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