The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9. State whether the statement is true or false.
Solution:
Given, the number of boys and girls in a class are in the ratio 5 : 4
If the number of boys is 9 more than the number of girls, then the number of boys is 9.
We have to determine if the given statement is true or false.
Let the number of boys be 5x.
Let the number of girls be 4x.
According to the question,
Number of boys = 9 + 4x
5x = 9 + 4x
By grouping of common terms,
5x - 4x = 9
x = 9
Now, 5x = 5(9) = 45
Therefore, the number of boys is 45.
✦ Try This: The number of boys and girls in a class are in the ratio 2:4. If the number of boys is 8 more than the number of girls, then number of boys is 24. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2
NCERT Exemplar Class 8 Maths Chapter 4 Problem 37
The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9. State whether the statement is true or false.
Summary:
The given statement, ”The number of boys and girls in a class are in the ratio 5:4. If the number of boys is 9 more than the number of girls, then number of boys is 9” is false.
☛ Related Questions:
- A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A . . . .
- Two different equations can never have the same answer. State whether the statement is true or false
- In the equation 3x - 3 = 9, transposing -3 to RHS, we get 3x = 9. State whether the statement is tru . . . .
visual curriculum