Question

In a class there are two sections a and



b. If 10 students of section b shift over to section a, the strength of a becomes three times the strength of



b. But if 10 students shift over from a to b, both a and b become equal in strength. How many students are there in sections a and b?

Answer 1

Answer:

first thing in question somewhere is mistake.

so I can't find the answer

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Answer 2

The correct answer is number of students in section a is 30 and in section b is 20.

Given: Statement 1:  If 10 students of section b shift over to section a, the strength of a becomes three times the strength of b.

Statement 2: If 10 students shift over from a to b, both a and b become equal in strength.

To Find: Number of students in section a and b.

Solution:

Let the number of students in section A = a.

Let the number of students in section B = b.

According to statement 1.

3(b-10) = a  (equation 1)

According to statement 2.

a-10 = b  (equation 2)

Put the value of a from equation 1 in equation 2.

3(b-10) - 10 = b

3b - 30 - 10 = b

2b = 40

b = 20

Now put the value of b in equation 1.

3(b-10) = a

3(20-10) = a

3(10) = a

a = 30

Hence, the number of students in section a is 30 and in section b is 20.

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