Question

Sum of two consecutive even terms lacks by 142 from their product Find the sum of these numbers​

Answer 1

Answer:

12 and 14

Step-by-step explanation:

the numbers are consecutive even

let the numbers be x and x + 2

sum of numbers + 142 = product of numbers

$x + x + 2 + 142 = x(x + 2) \\ 2x + 144 = {x}^{2} + 2x \\ {x}^{2} = 144 \\ x = \sqrt{144} \\ x = 12 \\ first \: number \: is \: x = 12 \\ second \: number \: is \: = x + 2 = 12 + 2 = 14$

verification

= 12 + 14

= 26

12 × 14 = 168

168 - 26 = 142

hope you get your answer