Answer:
The two positive numbers are 35 and 43.
Step-by-step explanation:
Let the two positive numbers be x and x + 8.
It is given that their product is 1505.
Therefore, x(x + 8) = 1505
[tex]x^{2} +8x=1505[/tex]
[tex]x^{2} +8x-1505=0[/tex]
[tex]x^{2} +43x-35x-1505=0[/tex]
x(x + 43) - 35(x + 43) = 0
(x + 43)(x - 35) = 0
x = -43, x = 35
Since, the numbers are positive, x = 35 is only valid.
The other number is x + 8 = 35 + 8 = 43.
Hence, the required positive numbers are 35 and 43.
