Question

Ram's father's age is 3 years more than two times Ram's age. Ram's father is 45 years old. Form an equation to find Ram's age.
A) $2x+3=45$
B) $3x+2=45$
C) $6x+3=45$
D) $5x+1=45$

Answer 1

Hint:
Here we need to form an equation to find the age of Ram. For that, we will assume the age of Ram and his father to be any variable. Then we will write the age of the father in terms of Ram’s age from the relation between their ages given in the question. Then we will substitute the value of age of his father here. From there, we will get the required equation.

Complete step by step solution:
Let the age of Ram be $x$ and the age of his father be $y$.
It is given that the age of his father is 3 years more than two times the age of Ram.
Now, we will multiply 3 to the age of Ram and then we will add 3 to it. So, this will be the age of his father in terms of age of Ram
Thus, the age of his father becomes $2x+3$.
Therefore, we can write the relation between their ages in form of equation as;
$\Rightarrow 2x+3=y$ ….. $\left( 1 \right)$
It is given that the age of his father is 45 years. So, we will substitute the value of his father’s age in equation 1.
$\Rightarrow 2x+3=45$
Hence, the required equation to find the age of Ram is $2x+3=45$.

Hence, the correct option is option A.

Note:
For age problems, we need to understand the language of question and also we need to understand the relation between the two sentences. We can solve these types of problems easily if we correctly interpret the meaning of the given sentences. Here the given age of his father is the present age and the equation that we have obtained is also to find the present age of Ram.