The number of learners in a class is 45 when the number of girls is subtracted from the number of boys the difference is five .find the number of boys and the number of girls in the clss
Mathematics
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Answer
There are 25 boys and 20 girls in the class.
Step-by-step solution
4 stepsSteps:
Define variables
Let B = number of boys
Let G = number of girlsFormulate equations from the given information
- "the number of learners in a class is 45" translates to: B + G = 45 (Equation 1)
- "when the number of girls is subtracted from the number of boys the difference is five" translates to: B - G = 5 (Equation 2)
Solve the system of equations
Add Equation 1 and Equation 2:
(B + G) + (B - G) = 45 + 5
2B = 50
B = 50 / 2
B = 25Substitute the value of B into Equation 1 to find G
25 + G = 45
G = 45 - 25
G = 20Therefore, there are 25 boys and 20 girls in the class.
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