Question

In a class of 180 students, the number of students who passed in mathematics but not in science is 30 less than the total number of students who passed in science. If exactly 10 students failed in both subjects. Finds the number of students who passed in both subjects.​

Answer 1

The number of student who pass in science is 106

Th number of students who passed in mathematics is 74

Step-by-step explanation:

Given as :

Total number of student in class = 180

Total number of students who failed in both subject = 10

So, Total number of students who pass in both subject = 180 - 10 = 170

Let The number of student who pass in science = x

The number of students who passed in mathematics but not in science is 30 less than the total number of students who passed in science.

i.e  number of students who passed in mathematics only = x - 30% of x

Or, number of students who passed in mathematics only = 0.7 x

According to question

Total number of students who pass in both subject = number of student who pass in science  + number of student who pass in mathematics

i.e  x + 0.7 x = 180

Or, 1.7 x = 180

∴         x = $\dfrac{180}{1.7}$

i.e        x = 106

So, The number of student who pass in science = x = 106

And number of students who passed in mathematics only = 0.7 × 106 = 74

Hence, The number of student who pass in science is 106

And number of students who passed in mathematics is 74  Answer