i am a multiple of 20. i have 3 digits. my hundreds digit and tens digit add to make 9. half of me is less that 100 what am i
445
To find the answer, we can use the given clues step by step:
1. You are a multiple of 20: This means that your number is divisible by 20. So, let's start by listing the multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, ...
2. You have 3 digits: Since you have 3 digits, your number is between 100 and 999. Therefore, we can eliminate the multiples of 20 that are less than 100 (20 and 40).
3. Your hundreds digit and tens digit add up to 9: Let's go through the remaining multiples of 20 and check this criterion. We have: 60 (6 + 0 = 6), 80 (8 + 0 = 8), 100 (1 + 0 = 1), 120 (1 + 2 = 3), 140 (1 + 4 = 5), 160 (1 + 6 = 7), 180 (1 + 8 = 9), 200 (2 + 0 = 2), 220 (2 + 2 = 4), ...
So, from the given clues, the only multiple of 20 that satisfies the requirement of having a hundreds digit and tens digit that add up to 9 is 180.
4. Half of the number is less than 100: Since half of 180 is 90, which is less than 100, the number 180 fulfills this criterion as well.
Therefore, the answer is 180.
if x/2 < 100 then x < 200
so the number is 18x
now finish it off