QUESTION FIVE a) A two digit number is such that its value equals four times the sum of its digits. If 27 is added to the number, the result is equal to the value of the number obtained when the digits are interchanged. What is the number? (6mks) b) In a survey of 260 college students, the following data is obtained. 64 students - Maths 94 students - Computer Science 58 students - Business Studies 28 students - both Maths and Business English 26 students - both Maths and Computer 22 students - both Computer Science and Business English i. ii. How many students in the survey did not take any of the three courses? (5mks) How many students took computer science only?(4mks)