Answer:
The age of Age of Joe is 14 years .
Step-by-step explanation:
Given as :
The statement is
Three times age of the Middle brother is 12 less than twice the sum of the ages of Joe and the youngest brother .
As The age of brothers are consecutive even integers
Let The Age of oldest brother Joe = 2 x + 4
Let The Age of middle brother = 2 x + 2
Let The Age of younger brother = 2 x
<u>Now, According to statement</u>
3 × (2 x + 2) = 2 × [ (2 x + 4) + (2 x) ] - 12
Or, 3 × 2 x + 3 × 2 = 2 × (2 x + 4) + 2 × (2 x) - 12
Or, 6 x + 6 = 2 × 2 x + 2 × 4 + 4 x - 12
Or, 6 x + 6 = 4 x + 8 + 4 x - 12
Or, 6 x + 6 = 8 x - 4
Or, 8 x - 6 x = 6 + 4
Or, 2 x = 10
∴ x =
i.e x = 5
So, The age of Age of oldest brother Joe = 2 x + 4 = 2 × 5 + 4 = 14 years
The Age of middle brother = 2 x + 2 = 2 × 5 + 2 = 12 years
The Age of younger brother = 2 x = 2 × 5 = 10 years
Hence, The age of Age of Joe is 14 years . Answer