Question
Sonu and Raju have to collect different kinds of leaves for a science project. They went to a park where Sonu collected 12 leaves and Raju collected x leaves. After sometime Sonu lost 3 leaves and Raju collects 2x leaves. Write an algebraic expression to find the total number of leaves collected by both of them. If they collected an equal number of leaves then find the value of x. [4 MARKS]
Answer:
:
Final number of leaves by both: 2 Mark
Steps: 1 Mark
Answer: 1 mark
The first case, Sonu collected 12 leaves and Raju collected x leaves.
Sum of leaves collected by Sonu = 12
Sum of leaves collected by Raju = x
After some time, Sonu lost 3 leaves and Raju collected 2xleaves.
Sum of leaves collected by Sonu = 12 - 3 = 9
Sum of leaves collected by Raju =2x+x=3x
Algebraic expression for the total number leaves collected by both =9+3x
It is given that, both of them collected equalnumberof leaves,
So, 3x=9
Orx=9÷3=3
Hence, the value ofx is 3.
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:
Final number of leaves by both: 2 Mark
Steps: 1 Mark
Answer: 1 mark
The first case, Sonu collected 12 leaves and Raju collected x leaves.
Sum of leaves collected by Sonu = 12
Sum of leaves collected by Raju = x
After some time, Sonu lost 3 leaves and Raju collected 2xleaves.
Sum of leaves collected by Sonu = 12 - 3 = 9
Sum of leaves collected by Raju =2x+x=3x
Algebraic expression for the total number leaves collected by both =9+3x
It is given that, both of them collected equalnumberof leaves,
So, 3x=9
Orx=9÷3=3
Hence, the value ofx is 3.
Was this answer helpful ?
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