Hello from MrBillDoesMath!
Answer:
3,8
Discussion:
Let "n" and "p" be the two positive integers. Then
n = p - 5 (*)
and
np = 24 (**)
Substituting (*) in (**) gives
np = 24 => as p = n+5
n(n+5) = 24 =>
n^2 + 5n - 24 = 0 => factor polynomial (n+8)(n-3)
So n = 3 or -8 but as n is positive, n = 3 Then p = n + 5 = 8
Check:
Is n (3) 5 less than p (8). Yes
Does np = 3 *8 24. Yes
Thank you,
MrB
