Problema Solution
Jake is 1 year less than half his fathers age. The sum of their ages is at least 83. What is takes youngest possible age?
Answer provided by our tutors
let
j = the age of Jake
f = the age of his father
Jake is 1 year less than half his fathers age:
j = (f/2) - 1
f/2 = j + 1
f = 2(j + 1)
The sum of their ages is at least 83:
j + f >= 83
plug f = 2(j + 1) into the inequality:
j + 2(j + 1) >= 83
by solving we find:
j >= 27
click here to see the step by step solution of the inequality:
Jake is at least 27 years old.