R is a 3 digit number
The first digit is the answer when the third digit is divided by 5.
The second and third digits add to 8.
The difference of the first and second digit is 2.
R=xxx
clearly the 1st digit is 0 or 5, so it must be 5, since 3-digit numbers don't usually start with 0.
R=1x5
The second and third digits add to 8
R=135
The last item is redundant.
To find the number R, let's break down the given information step by step.
1. "The first digit is the answer when the third digit is divided by 5."
This means that the answer is a single-digit number when the third digit is divided by 5. So, let's find all the single-digit numbers that are divisible by 5: 5 and 0.
2. "The second and third digits add to 8."
This tells us that the second and third digits have a sum of 8. We need to find all possible pairs of digits that add up to 8, keeping in mind that the third digit is the one we divided by 5 in the first clue. Let's list the possibilities:
- (0, 8)
- (5, 3)
3. "The difference of the first and second digit is 2."
This means that the first and second digits have a difference of 2. Let's check the possibilities we obtained in the previous step:
- (0, 8): Difference = 8 - 0 = 8
- (5, 3): Difference = 5 - 3 = 2
Considering all the clues, the only combination that satisfies all the conditions is (5, 3). Therefore, the number R is 538.
So, the answer is 538.