Let P-n- and S-n- denote the product and the sum- respectively- of the digits of the integer n- example- P-23-6 and S-23-5- suppose N is a two-digit number such that N-P-N-S-N- What is the unit digit of N-23689

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Let P(n) and S(n) denote the product and the sum, respectively, of the digits of the integer n. for example, P(23)=6 and S(23)=5. suppose N is a two-digit number such that N=P(N)+S(N). What is the unit digit of N?23689

Let $P (n)$ and $S (n)$ denote the product and the sum, respectively, of the digits of the integer $n$ . for example, $P (23) = 6$ and $S (23) = 5$ . suppose $N$ is a two-digit number such that $N = P (N) + S (N)$ . What is the unit digit of $N$ ?
$2$
$3$
$6$
$8$
$9$