The product of a number and 10 is 38 more than
8 times the number. What is the number?

n = 19

Step-by-step explanation:

10n = 38 + 8n

subtract 8n from either side

2n - 38

divide each side by 2

n = 19

eveidence i thing that

step-by-step explanation:

(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