One positive number is 4 more than a second number and their product is 77 find the two numbers

Question

What are the two numbers 

Answer 1

n(n + 4) = 77

 

n² + 4n - 77 = 0

 

(n - 7)(n + 11) = 0

 

n = 7 or -11

 

However, -11 will not give a positive number for n + 4, so n = 7.  The two numbers are 7 and 7 + 4 = 11.