Question

the product of two consecutive positive even integer is224then the larger no​

Answer 1

Let the two consecutive positive even integers be x , x + 2

Product of two consecutive positive even integers = 224

x(x + 2) = 224

x² + 2x = 224

x² + 2x - 224 = 0

x² + 16x - 14x - 224 = 0

x(x + 16) -14(x + 16) = 0

(x + 16)(x - 14) = 0

x = -16 or x = 14

Here they asked the positive integer.

So, Consider x = 14

Largest number = x + 2 = 14 + 2 = 16

Therefore the largest number is 16.