Read the information and answer the following questions.

The information is about the total males and females visits museum in three different days (Monday, Tuesday and Sunday). Total people visit all the three days is 135. Males visit on Sunday is 40% of females visit on Monday. Females visit on Sunday is 5 less than that on Monday. Males and females visit on Tuesday is 20 and 40 respectively. The ratio of people visit on Sunday and Tuesday is 1: 2.

Find the sum of number of female visits to museum on Monday and male visit on Tuesday.

The correct answer is 45.

Let's define variables and extract all the given information systematically.

Let:
Females on Monday = F_Mon
Males on Monday = M_Mon
Males on Sunday = M_Sun
Females on Sunday = F_Sun
Males on Tuesday = 20 (given)
Females on Tuesday = 40 (given)

Step 1: Find the total visits on Tuesday.

Total on Tuesday = Males on Tuesday + Females on Tuesday = 20 + 40 = 60

Step 2: Use the Sunday-to-Tuesday ratio to find total visits on Sunday.

Given ratio of Sunday visits to Tuesday visits = 1 : 2

\frac{\text{Sunday Total}}{\text{Tuesday Total}}=\frac{1}{2}

\text{Sunday Total}=\frac{1}{2}\times 60=30

So total visits on Sunday = 30.

Step 3: Express Sunday visits in terms of F_Mon.

From the given conditions:
- Males on Sunday = 40% of Females on Monday = 0.4 × F_Mon
- Females on Sunday = Females on Monday - 5 = F_Mon - 5

Total on Sunday = M_Sun + F_Sun

0.4F_{\text{Mon}}+(F_{\text{Mon}}-5)=30

1.4F_{\text{Mon}}-5=30

1.4F_{\text{Mon}}=35

F_{\text{Mon}}=\frac{35}{1.4}=25

So Females on Monday = 25.

Step 4: Calculate the required sum.

Sum = Females on Monday + Males on Tuesday
Sum = 25 + 20 = 45

Let's also verify using the total. Total on Monday = We need M_Mon. Total = Monday + Tuesday + Sunday = 135.
Monday Total = 135 - 60 - 30 = 45
So Males on Monday = 45 - 25 = 20. (This is consistent and valid.)

Therefore, the sum of female visits on Monday and male visits on Tuesday = 25 + 20 = 45.