Question

Out of 200 std in a class. 150 like math , 120 like nepali .if the number of std who like nepali only is one third of the std wholike math .find who lile both subjects​

Answer 1

70 students like both nepali and maths.

SOLUTION:

Given,out of 200 students in a class. 150 like math, 120 like nepali.

The number of students who like nepali only is one third of the students who like math .

We need to find how many likes both subjects.

Let, the number of students who like only nepali be x.

Then, x is one-third of students who like maths.

x =
`(1)/(3) *` students who like maths

`\begin{array}{l}{x=(1)/(3) * 150} \\\\ {x=(150)/(3)} \\\\ {x=50}\end{array}`

Now, out of 120 students who like nepali, only 50 students like nepali alone, which means remaining students like both nepali and maths

Students who like both subjects = 120 – 50 = 70.

Hence,70 students like both nepali and maths.