2/5 of the students of the class are boys and there are 10 girls more than the boys in the class how many boys within the class
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let the number of students in class = x
number of boys = 2/5 of x
number of girls = 2/5 of x + 10
(2/5 of x) + (2/5 of x+10) = x
taking lcm 5
(2x+2x+50)/5 = x
(2x+2x+50) = 5x
50 = 5x-2x-2x
x = 50
number of boys = 2/5 of x = 20
number of boys = 2/5 of x
number of girls = 2/5 of x + 10
(2/5 of x) + (2/5 of x+10) = x
taking lcm 5
(2x+2x+50)/5 = x
(2x+2x+50) = 5x
50 = 5x-2x-2x
x = 50
number of boys = 2/5 of x = 20
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