Problema Solution
The age of three brothers are consecutive even integers. Three times the age of the youngest brother exceeds the oldest brother's age by 48 years. What is the age of the oldest brother?
Answer provided by our tutors
the three consecutive even integers can be written as:
2x - 2, 2x, 2x + 2
where x is integer, and 2x - 2 > 0 that is x > 1 (the age can not be a negative number)
also 2x - 2 < 2x < 2x + 2
three times the age of the youngest brother exceeds the oldest brother's age by 48 years
3*(2x - 2) = 48 + (2x + 2)
by solving we find:
x = 14
click here to see the step by step solution of the equation:
the age of the oldest brother is 2x + 2 that is:
2*14 + 2 = 30 years.