Question

Mohini is x years old. Express the following in algebraic form: “four times Mohini’s age 3 years ago”.

Answer 1

Hint: In this problem, we have to express the given expression in mathematical terms, where the age is given as x. As we are given the age as x, then the age 3 years ago will be the age, where x is subtracted to 3 and the four times is multiplied to the age 3 years ago. Here we can use the mathematical terms and symbols to express the given sentence into its respective mathematical terms.

Complete step by step answer:
Here we have to express the given expression in mathematical terms.
We know that the given expression is,
“four times Mohini’s age 3 years ago”.
We are also given that Mohini is x years old.
As we are given the age as x, then the age 3 years ago will be the age, where x is subtracted to 3, we get
\[\Rightarrow \left( x-3 \right)\]
We can now multiply 4 in the above step as we are given “four times Mohini’s age 3 years ago”.
\[\Rightarrow 4\left( x-3 \right)\]
Therefore, the mathematical expression of the given sentence “four times Mohini’s age 3 years ago” is \[4\left( x-3 \right)\].

Note: We should always remember that a sentence is converted into its equivalent mathematical expression using the mathematical terms, symbols and operations. We should also remember some of the terms, where the term ‘times’ means multiplying the given number to the expression.