Help me solve solve this

Question

The ages of Maria and Katrina are consecutive odd integers whose product is 483. To find their ages we could solve the equation. Doing so yields the solutions x= 21 and x= -23. Why must one of these solutions be​ discarded?

A.) The negative solution is discarded because the two ages must be positive.

B.) The rational solution is discarded because the two ages must be integers.

C.) The integer solution is discarded because the two ages must be rational

D.)The positive solution is discarded because the two ages must be negative.

Answer 1

sqr483 = 21.9 approximately

go up 1 and down 1 to get 21 and 23

21 x 23 = 483

another method is

MK = M(M+2) = 483

M^2 +2M = 483

M^2 + 2M + 1 = 483+1

(M+1)^2 = 484

M+1 = sqr483 (ignore the negative square root)

M = -1 + 22 = 21

K=M+2 = 23

A: the negative solution must be discarded because both ages must be positive. (if you're a pro-lifer, maybe ages could be as low as -9 months, but in this case you'd have a negative 23 years and negative 21 years, but -23 x -21 = 483, so mathematically it's a 2nd solution)