find 4 consecutive integers if the product of the two larger integers is 50 more than the product of the 2 smaller ones

Question

I cant figure this math problem out and i have been try for a long time. 

Answer 1

The consecutive integers are X,x+1,X+2,X+3

 

(X+2)(x+3) = x(x+1)+50

 

x^2 + 5x + 6 = x^2 + x + 50

 

5x + 6 = x + 50

 

4x - 44 = 0

 

4x = 44

 

x = 11

 

11,12,13,14

 

CHECK:

 14 *13 = 182 = 132+50 = 11*12 + 50

 Yes, it checks