Q:

Please help out and if you know help me show work ??

Accepted Solution

A:
Answer:  14Step-by-step explanation:Consecutive even numbers would be {2, 4, 6, 8, 10, ...}Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.1st number: x2nd number: x + 23rd number: x + 41st number + 2nd number + 3rd number = Sum       (x)        +      (x + 2)       +      (x + 4)      =  48                                                       3x + 6   =  48                                                       3x          = 42                                                         x           = 141st number: x           ⇒ x = 142nd number: x + 2   ⇒ 14 + 2 = 163rd number: x + 4    ⇒ 14 + 4 = 18Check:14 + 16 + 18 = 48 [tex]\checkmark[/tex]