Sure, let's break down the problem and write it in the form of an equation.
1. Let [tex]\( R \)[/tex] represent Raju's age.
2. According to the problem, Raju's father's age is 5 years more than three times Raju's age. Mathematically, this can be expressed as:
[tex]\[
\text{Father's age} = 3R + 5
\][/tex]
3. We are also given that Raju's father is 44 years old:
[tex]\[
\text{Father's age} = 44
\][/tex]
4. Now, we can set up the equation by equating the two expressions we have for the father's age:
[tex]\[
44 = 3R + 5
\][/tex]
To find Raju's age, we solve this equation for [tex]\( R \)[/tex]:
Subtract 5 from both sides of the equation:
[tex]\[
44 - 5 = 3R + 5 - 5
\][/tex]
[tex]\[
39 = 3R
\][/tex]
Now, divide both sides by 3:
[tex]\[
R = \frac{39}{3}
\][/tex]
[tex]\[
R = 13
\][/tex]
Therefore, Raju's age is 13 years.
