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 1

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 $2x$ leaves.

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 equal number of leaves,
So, $3x=9$
Or $x=9÷3=3$
Hence, the value of $x$ is $3$.