There are 30 two-digit multiples of 3 plus 18 two-digit multiples of 5 minus 6 two-digit multiples of both. Answer: 42
60 numbers
30, 60 and 90.
45 multiples of 2 plus 30 multiples of 3 minus 15 multiples of 6 equals 60 numbers
lcm(2, 3, 5) = 30 → 2 digit common multiples are 30, 60, 90.
Multiple of both 2 and 3 <=> multiple of 6 So require 2 digit multiples of 6. 2*6 = 12 and 16*6=96 So the answer is 16-2+1 = 15
-3
There are 450 such numbers.
There are 13 two-digit multiples of 7.
12, 24, 36, 48, 60, 72, 84, and 96 are.
12, 24, 36, 48, 60, 72, 84, 96
6 and 12 are multiples of 2 & 3