Question: If 2x+13x2=910, then the value of 'x' is: [2 MARKS]

: Steps: 1 Mark
Result: 1 Mark








The value of 'x' is 4.

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Question 1. Find the number in the following cases: [4 MARKS]

a) When a number is multiplied by 6 and 4 is added to the product, it becomes 54.

b) Adding 6 to 4 times a number gives 88.

: Each part: 2 Marks

a) Let the number be y

According to question, (y×6)+4=54




b) Let the number is y;

According to question, 6+4×y=88.




Question 2. (a) Write the statement of the following equations. [4 MARKS]

i) 7x+4=46

ii) 5x+46=13 

(b) Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age, if his father is 44 years old.

: (a) Correct statement of equation: 1 Markeach
(b) Framing of equation: 1 Mark
Solution: 1 Mark

(a) i) When a number is multiplied with 7 and 4 is added to their product, we get 46 as the final result.

ii) When a number is multiplied with 5,4 is added to their product and their final sum isdivided by 6, the result which we get is 13.

(b) Let Raju's age be x.
Raju's father's age = 3x+5=44




Raju's age is 13 years.
Question 3. Sum of two numbers is 38 and their difference is 16. Find the numbers? [3 MARKS]

: Framing of the equation: 1 Mark
Steps: 1 Mark
Answer: 1 Mark

Let the number be x.

Then, the other number is (38x)

The difference between the numbers is 16.






Other number
Question 4. What is the solution of the equation 4x+25=7x+10 ? [2 MARKS]

: Steps: 1 Mark
Result: 1 Mark


Now, subtracting 10 on both sides, we get



Now, subtracting 4x on both sides, we get



Dividing both sides by 3, we get:


Question 5. (a) Aditya has a certain number of pencils. The cost of pencils is 10 greater than 4 times the number of pencils which Aditya has. The total cost of the pencils is Rs 162. Frame the equation and find the number of pencils.  

(b) People of Sundargram planted a total of 102 trees in the village garden. Some of the trees were fruit trees. The number of non-fruit trees was two more than three times the number of fruit trees. What was the number of fruit trees? [4 MARKS]

: (a)Steps: 1 Mark
Result: 1 Mark
(b)Steps: 1 Mark
Result: 1 Mark

(a) Let Aditya have x pencils

Now 4 times the number of pencils which Aditya has is 4×x=4x

10 greater than 4x=4x+10

Now, given that the total cost is Rs 162, we get


So, Aditya has 38 pencils.

(b) Total trees planted = 102
Let the number of fruit trees planted be x
The number of non-fruit trees planted is 3x+2
No. of Non-fruit trees + No. of fruit trees = Total no. of trees
3x+2 + x = 102
Therefore no. of fruit trees was 25.
Question 6. Find x, when 3x+57=167.  [2 MARKS]

: Steps: 1 Mark
Result: 1 Mark


Or, (3x+5)×7=16×7

Or, 21x+35=112

Or, 21x=11235

Or, 21x=77

Or, x=7721=113.

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