Answer:
37
Step-by-step explanation:
The answer must be (a multiple of 2, 3, 4 and 6) + 1, and (a multiple of 5) + 1, because 1 or 2 coins were left over when dividing by 2, 3, 4, 6 or 5.
Let's look at the lowest common multiples of 2, 3, 4, 6:
Prime factorisation:
2 = 2
3 = 3
4 = 2 * 2
6 = 2 * 3
therefore, the lowest common multiple is 2 * 2 * 3 = 12
Let's look at the answers that this would give us (ie multiples of 12):
12 + 1 = 13 <-- this would work, but 11 (ie two less than 13) is not a multiple of 5
12 * 2 + 1 = 25 <-- 23 is not a multiple of 5 either
12 * 3 + 1 = 37 <-- 35 (two less than 37) is a multiple of 5 :)
therefore 37 is our answer since it is one more than a multiple of 12 (ie 36) and two more than a multiple of 5 (ie 35)
