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Set up an equation for Raju’s father’s age that is $6$ year’s more than four times Raju’s age. Raju’s father’s age is $52$ years old. (take Raju’s age to be $x$ years).

Last updated date: 10th Sep 2024
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Hint:
In this question, choose variables to represent the unknown that is the age of Raju’s be $x$ and then write down the equation for the given problem in terms of assumed unknown and solve the equation to find the value.

Complete step by step solution:
A word problem is a mathematical practice where significant information on the problem is presented in ordinary form rather than in mathematical expression. A word problem is a maths question written as one sentence or more that requires children to apply their maths knowledge to a real-life scenario.
The easiest way to solve the word problem is to represent unknown numbers with variables, translate the rest of the word problem into a mathematical expression and finally solve the problem. Word problem is a technique of thinking how to determine the problem and solve it.
Word problem develops the mental, logical thinking of an individual. It makes him/her different from others in career and life. It improves the solving method of students and makes them extraordinary from others.
Let us take Raju’s age to be $x$ years.
According to the question, Raju’s father’s age is $6$ years more than four times Raju’s age. So, we can write the equation for Raju’s father’s age as,
$y = 6 + 4x$ …. (1)
Also, Raju’s father’s age is $52$ years old.
Therefore, the value of $y$ is $52$, so we can write the equation as,
$\Rightarrow 6 + 4x = 52 \\ \Rightarrow 4x = 46 \\$………. (2)
On solving equation (2),

The value of Raju’s age $x = 11.5\;{\text{years}}$.

Note:
In solving the word problems always be careful where you need to take the English words and solve them into mathematics. These types of questions are always based on representing the unknown numbers with variables on the given information.