Sure! Let's solve this step by step.
1. Understand the problem statement:
- Laxmi's father is 40 years old.
- Laxmi's father is 4 years older than three times Laxmi's age.
2. Set up the relationship between Laxmi's age and her father's age:
- Let's denote Laxmi's age by [tex]\( n \)[/tex].
- According to the problem, three times Laxmi's age plus 4 years equals her father's age. This can be expressed in the form of an equation:
[tex]\[
\text{father's age} = 3n + 4
\][/tex]
3. Substitute the known value into the equation:
- We know Laxmi's father is 40 years old. Therefore, the equation becomes:
[tex]\[
40 = 3n + 4
\][/tex]
4. Solve the equation for [tex]\( n \)[/tex]:
- First, isolate the term containing [tex]\( n \)[/tex] on one side of the equation by subtracting 4 from both sides:
[tex]\[
40 - 4 = 3n
\][/tex]
Simplifying this, we get:
[tex]\[
36 = 3n
\][/tex]
- Next, solve for [tex]\( n \)[/tex] by dividing both sides by 3:
[tex]\[
n = \frac{36}{3}
\][/tex]
Simplifying this, we get:
[tex]\[
n = 12
\][/tex]
5. Conclude the result:
- Laxmi is 12 years old.
So, Laxmi's age is 12 years.
