Write the following situation in the form of equations:
Raju's father's age is 5 years more than three times Raju's age. Raju's father is 44 years
old. Set up an equation to find Raju's age.



Answer :

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.

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