in X class, if three students sit on each bench, one student will be left. if four students sit on each bench, one bench will be left. find the number of students and the number of benches in that class. (with graph). chapter name pair of linear equations in two variables.
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Let the no. of students = x.
and, no. of benches = y.
A/Q,
x = 3y+1 --------------(1)
and,
x = 4(y-1) + 0 ----------(2)
From equation 1 and 2,
3y + 1 = 4(y-1)
or, 3y + 1= 4y -4
or, 1+4 = 4y - 3y
or, 5 = y
or, y = 5
from equation (1),
x = 3×5 + 1 = 15 + 1
or, x = 16
Therefore no. of student = x = 16
And no. of benches = y = 5
and, no. of benches = y.
A/Q,
x = 3y+1 --------------(1)
and,
x = 4(y-1) + 0 ----------(2)
From equation 1 and 2,
3y + 1 = 4(y-1)
or, 3y + 1= 4y -4
or, 1+4 = 4y - 3y
or, 5 = y
or, y = 5
from equation (1),
x = 3×5 + 1 = 15 + 1
or, x = 16
Therefore no. of student = x = 16
And no. of benches = y = 5
tayyab0:
can u plz draw graph for this sum
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