One positive number is two more than twice another. If their product is 60, find the numbers.

The first number is 5, and the other number is 12

Step-by-step explanation:

1st Number = n

2nd number = 2n + 2

1st Number * 2nd Number = 60

n (2n+2) = 60

2n^2 + 2n = 60

2n^2 + 2n - 60 = 0

Factor Out:

2 (n-5) (n+6) = 0

n-5 = 0 n+6 = 0

n = 5 n = - 6

n = - 6 wont make sense so n = 5 would be the answer

Check:

5 (10+2) = 60

5 (12) = 60

60 = 60