one- third of the total number of students in a class are in hindi class, one-fourth are in english class, one-sixth are in science class and twelve are in maths class. .How many students are there in in the class? *
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Step-by-step explanation:
Let the total no. of students in the class be x
Students in hindi class = 1/3 of x
= 1/3×x
= x/3
Students in English class = 1/4 of x
= 1/4×x
= x/4
Students in science class = 1/6 of x
= 1/6×x
= x/6
No. of students in math class = 12
Students in math class = {x-(x/3+x/4+x/6)}
= {x-(4x+3x+2x/12)}
= {x-9x/12}
= {12x-9x/12}
= 3x/12
= x/4
By condition,
x/4 = 12
x = 12×4
x = 48
The total no. of students in the class
is 48.
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