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 sometimes 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.
Answers
given leaves collected by Sonu is equal to 12 where was given leaves collected by Raju is equal to 2 x after sometime Sonu lost three leaves and Raju collects leaves is equal to 2x the correct answer of this question that what are the total number of leaves with both of them are is equal to 9 + 2x
Solution:--
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 collect 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
If 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.
Hope it helps....