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Summer Vacation Assignment on Mathematics

Q1. Express the following phrases using numbers, variables, and operations:
1. [tex]\( 5 \)[/tex] times [tex]\( x \)[/tex]
2. The product of [tex]\( 4 \)[/tex] and [tex]\( x \)[/tex] multiplied by [tex]\( y \)[/tex]
3. [tex]\( 8 \)[/tex] times a number [tex]\( x \)[/tex] subtracted from a number [tex]\( y \)[/tex]

Q2. Consider a number.
1. Multiply it by [tex]\( 5 \)[/tex].
2. Add [tex]\( 6 \)[/tex] to the result.
3. Subtract this result from the original number.
4. What is the final result?

Q3. Rahul scores [tex]\( 70 \)[/tex] marks in English and [tex]\( x \)[/tex] marks in Hindi.
1. What is his total score in the two subjects?



Answer :

GinnyAnswer
Let's break down the third question step-by-step to find Rahul's total score in the two subjects.

Given:
- Rahul's score in English is 70 marks.
- Rahul's score in Hindi is represented by [tex]\( x \)[/tex] marks.

To find Rahul's total score in both subjects, we need to add his English score to his Hindi score.

1. Rahul’s English score: 70 marks
2. Rahul’s Hindi score: [tex]\( x \)[/tex] marks

To calculate the total score, we add the English score to the Hindi score:
[tex]\[ \text{Total Score} = \text{Rahul's English score} + \text{Rahul's Hindi score} \][/tex]
[tex]\[ \text{Total Score} = 70 + x \][/tex]

Therefore, Rahul’s total score in English and Hindi is [tex]\( 70 + x \)[/tex] marks.

So, the total score is:
[tex]\[ 70 + x \][/tex]

This result means if Rahul scores 70 marks in English and [tex]\( x \)[/tex] marks in Hindi, then his overall total score is 70 plus whatever his Hindi score [tex]\( x \)[/tex] is.

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