ANSWER:
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 = [tex]\frac{1}{3} \times[/tex] students who like maths
[tex]\begin{array}{l}{x=\frac{1}{3} \times 150} \\\\ {x=\frac{150}{3}} \\\\ {x=50}\end{array}[/tex]
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.
