Question 5 of 36intermediate🔍 AnalyzeNumerical3 marks
Who am I? a. I am a number less than 40. One of my factors is 7. The sum of my digits is 8. b. I am a number less than 100. Two of my factors are 3 and 5. One of my digits is 1 more than the other.
(a)
Answer
The number is 35 (factors include 7, and 3 + 5 = 8).
(b)
Answer
The number is 45 (factors include 3 and 5, and 5 is 1 more than 4).
Explanation
(a) Numbers less than 40 with 7 as a factor are 7, 14, 21, 28, 35. Only 35 has digits that sum to 8. (b) Numbers with factors 3 and 5 are multiples of 15. Among 15, 30, 45, 60, 75, 90, only 45 has one digit (5) that is 1 more than the other digit (4).