When planting a forest, the number of jambhul trees planted was greater than the number of ashoka trees by \[60\]. If there are altogether \[200\]trees of these two types, how many jambhul trees were planted.
Answer
278.1k+ views
Hint: In order to find the number of jambhul trees planted, we must assign a variable to the number of ashoka trees. Since we are given that the number of jambhul trees are \[60\] more than ashoka, we will assign the variable value accordingly. And then we must sum up both the numbers and equate to \[200\]and upon solving it we obtain the required solution.
Complete step-by-step solution:
Now let us briefly consider linear equations. A linear equation can be expressed in the form of any number of variables as required. As the number of the variables increase, the name of the equation simply denotes it. The general equation of a linear equation in a single variable is \[ax+b=0\]. We can find the linear equation in three major ways. They are: point-slope form, standard form and slope-intercept form.
Now let us calculate the number of jambhul trees planted.
Let us consider the number of ashoka trees as \[x\].
We are given that the number of jambhul trees is \[60\] more than ashoka.
So, the number of jambhul trees \[60+x\].
The total number of trees planted in the forest\[=200\]
Now let us sum up both the count of trees.
We get,
\[\begin{align}
& \Rightarrow x+60+x=200 \\
& \Rightarrow 2x+60=200 \\
& \Rightarrow 2x=140 \\
& \Rightarrow x=70 \\
\end{align}\]
\[\therefore \] The number of jambul trees planted\[=\left( 60+x \right)=\left( 60+70 \right)=130\]
Note: We must notice while assigning the variable values as wrongly assigning provides us with incorrect answers. Before assigning we must have a clear view regarding the problem given. While solving the linear equations, the common error committed could be wrongly placing of the braces.
Complete step-by-step solution:
Now let us briefly consider linear equations. A linear equation can be expressed in the form of any number of variables as required. As the number of the variables increase, the name of the equation simply denotes it. The general equation of a linear equation in a single variable is \[ax+b=0\]. We can find the linear equation in three major ways. They are: point-slope form, standard form and slope-intercept form.
Now let us calculate the number of jambhul trees planted.
Let us consider the number of ashoka trees as \[x\].
We are given that the number of jambhul trees is \[60\] more than ashoka.
So, the number of jambhul trees \[60+x\].
The total number of trees planted in the forest\[=200\]
Now let us sum up both the count of trees.
We get,
\[\begin{align}
& \Rightarrow x+60+x=200 \\
& \Rightarrow 2x+60=200 \\
& \Rightarrow 2x=140 \\
& \Rightarrow x=70 \\
\end{align}\]
\[\therefore \] The number of jambul trees planted\[=\left( 60+x \right)=\left( 60+70 \right)=130\]
Note: We must notice while assigning the variable values as wrongly assigning provides us with incorrect answers. Before assigning we must have a clear view regarding the problem given. While solving the linear equations, the common error committed could be wrongly placing of the braces.
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