The first number is number is 6 less than three times the second number. The product of the first number and 5 less than the second number is 120. What are the numbers

Answer 1

F=3S-6

F(S-5)= 120

(3S-6)(S-5) = 120

3S^2 -21S +30 = 120

3S^2 -21S -90

S^2 -7S -30 =0

(S-10)(S+3) =0

S= 10 or -3

F=3(10)-6 = 24 or 3(-3)-6= -15

the numbers are 24 and 10

or -15 and -3

24 is 6 less than 3 times 10

24 times 10-5 = 120

or

-15 is 6 less than 3 times -3

-15 times -3-5 = 120