Answer:
20,21
Step-by-step explanation:
Let x be the first number.
Let y be the 2nd number.
Given y - x = 1 (since they are consecutive)
Rearrange it: y = x+1 (equation 1)
Also given:
[tex]xy-20=x^{2}[/tex] (equation 2)
Now we can substitute y = x + 1 into equation 2.
[tex]x(x+1)-20 = x^{2} \\x^{2} +x-20 = x^{2} \\x-20=x^{2} -x^{2} \\x-20=0\\x=20[/tex]
Since we know x, the smaller number is 20, we can substitute to equation 1 to find y, the larger number.
y = 20+1
= 21.
Therefore the 2 numbers are 20 and 21.
