Question

In a school 150 students are admitted. Thae are distributed over 3 sections A, B and C. If 6 students are shifted to Section A to Section C, the 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 three sections.​

Answer 1

Step-by-step explanation:

Answer:

The number of students in A ,B and C section is 42,78 and 30 respectively.

Step-by-step explanation:

Let the number of students of section A be A

Let the number of students of section A be B

Let the number of students of section C be C

Now We are given that total no. of students are 150

So,

Now we are given that If 6 students are shifted from section A to section C , the two sections will have equal number of Students.

Students of Section A = A-6

Students of Section C = C+6

So, A.T.Q

--1

Now we are given that If 4 times the students of C exceeds the number of students of section A by the number of students in section B .

--2

Since

So,

Substitute the value of B in 2

Substitute In 1

Substitute the value of A and C in 2

Hence the number of students in A ,B and C section is 42,78 and 30 respectively.