Answer:
The product of two integers is 72.
Step-by-step explanation:
Let,
x and x+1 be the two consecutive positive integers.
According to given statement;
The product of two positive consecutive integers is 24 more than 6 times the first number.
x(x+1) = 6x+24
[tex]x^2+x=6x+24\\x^2+x-6x-24=0\\x^2-5x-24=0\\x^2-8x+3x-24=0\\x(x-8)+3(x-8)=0\\(x-8)(x+3)=0\\[/tex]
Either,
x-8 = 0
x=8
Or,
x+3 = 0
x=-3
As the integer is positive, therefore, the two integers are 8 and 9.
Product of two integers = 8*9 = 72
Hence,
The product of two integers is 72.
