Question

Rajni’s mother is 36 years old. She is 6 years older than three times Rajni’s age. Write an equation to find the age of Rajni’s mother (Take Rajni’s age to be n years.)

Answer 1

Hint: First of all, we will consider Rajni’s age as n as per the question, then we will find the expression for three times the age of Rajni’s age. Then we will add 6 years to the derived expression and then we will equate that equation with the given value of Rajni’s mother age i.e. 36 years. So, the equation derived from this will be the final answer of our question.

Complete step-by-step answer:
In question we are given that age is n years and her mother’s age is 36 years. She is 6 years older than three times her mother’s age and we are asked to find the equation of age of Rani’s mother. So, first of all as per the question we will consider Rajni’s age as n years which can be written as,
$\text{Rajni }\!\!'\!\!\text{ s age }=\text{ }n\text{ }years$
Now, it is said that Rajni is 6 years older than three times of her mother’s age, so three times the age of Rajni’s age can be given as,
$\text{Rajni }\!\!'\!\!\text{ s mother age }=\text{ 3}n\text{ }years$
Now, on adding 6 years to the expression as it is given that Rajni’s mother is 6 years older than three times the Rajni’s age, we will get,
$\text{Rajni }\!\!'\!\!\text{ s mother age }=\text{ 3}n+6\text{ }years$ …………….(i)
Now, in question it is given that the age of Rajni’s mother is 36 years, so, on equating the expression (i) with 36 years we will get,
$\text{36}\ =\ \text{3}n+6$
$\Rightarrow \text{3}n+6\ =\ 36\ years$
Thus, we can say that the required expression for the age of Rajni’s mother is $\text{3}n+6\ =36\ years$.

Note: In question it is given that Rajni’s mother is 6 years older than three times Rajni’s age, student might interpret it wrong and form the expression as $\text{Rajni }\!\!'\!\!\text{ s mother age }=\text{ 3}\left( n+6 \right)\ years$ and due to that the answer becomes $3n+18\ =\ 36\ years$ , which is wrong. So, students must understand the question properly before solving it.