The age of youngest brother is 26 years old
Solution:
Let the three consective even integers be x, x + 2 and x + 4
Let the youngest brother age = x
Let the oldest brother age = x + 4
Let the another brother (middle one ) age = x + 2
Three times the age of the youngest brother exceeds the oldest brothers age by 48 years
Therefore, we can frame a equation as:
Three times age of the youngest brother = Age of oldest brother + 48
three times x = x + 4 + 48
3x = x + 4 + 48
3x - x = 52
2x = 52
x = 26
Thus the age of youngest brother is 26 years old
