Jamie has a total of 40 coins that are all nickels and dimes. she has 12 more nickels than dimes. how many of
each type of coin does she have?

Jamie has 14 dimes and 26 nickels

Step-by-step explanation:

nickels : x

dimes : y

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18