
Amulya is $x$ years of age now . 5 years ago her age was .
A) $(5-X)$ years
B) $(5+X)$ years
C) $(X-5)$ years
D) $(5 \div X)$ years
Answer
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Hint: Here we are given the question in mathematical statement and not as expression . In order to find out the correct answer , we need to first frame the statement of the question in the mathematical expression so that we can apply some logic and operations to solve and find the answer . Also the question is related to the age , where we should take the current age or present age as any variable ( let it be $x$ or $y$ ) and perform the required operation.
Complete step-by-step solution:
We are given the question that Amulya is x years of age now , that means we are provided the information of present age which is $x$ years .
Now we have to find the age of the girl having past 5 years. That is what should be the age of the girl 5 years before from the current year .
We will obviously go five years back and that time she should be 5 years less than from the present year . And now the term ‘ less ‘ in mathematics always calls the subtraction operation .
Now we will frame the mathematical expression from the above explanation .
As already given ,
The current age of Amulya = $x$ years .
Further we have to go five five years back and that time her should be 5 years less than from present year = \[\left( {{\text{ }}x{\text{ }} - {\text{ }}5{\text{ }}} \right)\] years .
Therefore , the correct answer is option ‘C’.
Note: Remember always to take the present or the current age as any variable .
i) If we take current age as $x$ , then the age asked n years later that means addition will be performed to the present age which will be equal to \[\left( {{\text{ }}x + {\text{ }}5{\text{ }}} \right)\].
ii) If we take current age as $x$ , then the age asked n years ago that means subtraction will be performed to the present age which will be equal to \[\left( {{\text{ }}x - {\text{ }}5{\text{ }}} \right)\] .
Complete step-by-step solution:
We are given the question that Amulya is x years of age now , that means we are provided the information of present age which is $x$ years .
Now we have to find the age of the girl having past 5 years. That is what should be the age of the girl 5 years before from the current year .
We will obviously go five years back and that time she should be 5 years less than from the present year . And now the term ‘ less ‘ in mathematics always calls the subtraction operation .
Now we will frame the mathematical expression from the above explanation .
As already given ,
The current age of Amulya = $x$ years .
Further we have to go five five years back and that time her should be 5 years less than from present year = \[\left( {{\text{ }}x{\text{ }} - {\text{ }}5{\text{ }}} \right)\] years .
Therefore , the correct answer is option ‘C’.
Note: Remember always to take the present or the current age as any variable .
i) If we take current age as $x$ , then the age asked n years later that means addition will be performed to the present age which will be equal to \[\left( {{\text{ }}x + {\text{ }}5{\text{ }}} \right)\].
ii) If we take current age as $x$ , then the age asked n years ago that means subtraction will be performed to the present age which will be equal to \[\left( {{\text{ }}x - {\text{ }}5{\text{ }}} \right)\] .
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