math problem

Question

The product of two consecutive positive integers is 5 more than their sum. Find the integers 

Answer 1

Hi Anai,

 

Let x = the first number

 

x+1 = next number

 

x(x+1) = x + x+1 +5    (this says the product of two consecutive numbers is five more than the sum

 

x² + x = 2x +6

 

x² -x - 6 = 0

 

(x-3)(x+2)=0

 

x-3 = 0

 

x = 3       

x+1 = 4  

 

 

Hope this helps