Question

The product of two consecutive even positive integer is 1088 . Find the sum of two integer solve this

Answer 1

Answer:

Step-by-step explanation:

Hi there !

Let the number be 2x and 2x+2.

Then,

2x × (2x+2)=1088

x(2x+2)=544

2x^2 +2x-544=0

x^2 +x -272=0

x^2 +17x-16x -272=0

x(x+17) -16(x+17)=0

(x+17)(x-16)=0

Therefore, x+17=0 or x-16=0

Then,x=-17 or x=16.

Consecutive even number are either 2x=32 and 2x+2=34 or 2x=-34 or 2x+2=-32.

Hence the larger number is 34.