Answer:
B.8 and 9
Step-by-step explanation:
Math Word Problem: The sum of 2 numbers is 17 and their product is 72. What are the two numbers?
The answer is “8” and “9”
Here's the beautiful answer by factorization
As given by statement
X+Y=17 (i
XY=72(ii)
So , X=17-Y (by i)
Put it in (ii) so
(17-Y)Y=72
17Y-Y*(2)-72=0
Y*(2)-17Y+72=0
Y*(2)-8Y-9Y+72=0 (by factorization
Y(Y-8)-9(Y-8)=0
(Y-9)(Y-8)=0
Y-9=0 , Y-8=0
Y=9 , Y=8
Pit them in( X=17-Y)
So,
X=17–9 , X=17–8
Either
X=8 or X= 9
So the numbers are
8 and 9
