Question

150 are admitted to a school. They are distributed
over three sections A, B and C. If 6 students are shifted from Section A to
Section C, two sections will have equal number of students. If 4 times of
students of C exceeds the number of students of Section A by the number of
students in Section B, find the number of students in the three sections.
​

Answer 1

Answer:

84, 36, 30

Step-by-step explanation:

let A = x, B = y, c = 150-(x+y)

after giving 6 from A to C

A = x-6, B = y, c = 150-(x+y)+6

and also given two are equal let B=C

y=150-(x+y)+6

x+2y=156...............1

4C-A=B

4(150-(x+y))-x=y

x+y=120................2

subtract eq 2 from 1 we get

x=84, y=36

so A=84, B= 36, C=30