Problema Solution

Robert's thinking about that his father is 7 years more than twice his own age, and his grandfather is 4 years less than twice his father's age. if Robert's grandfather is 70 years of age, how old is Robert?

Answer provided by our tutors

let


x = the age of Robert


y = the age of his father


his father is 7 years more than twice his own age:


y = 2x + 7


his grandfather is 4 years less than twice his father's age and his grandfather is 70 tears of age:


70 = 2y - 4


2y - 4 = 70


plug y = 2x + 7 into the last equation:


2(2x + 7) - 4 = 40


by solving we find:


x = 7.5 years


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Robert is 7 and a half years old.