Question

Three times the difference of Federico’s age, and 4, increased by 7, is greater than 37. What are possible values of Federico’s age?

Answer 1

Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on

Explanation:

Let Federico's age = x

Three times the difference of Federico’s age, and 4 means:

3(x - 4)

Increased by 7:

3(x - 4) + 7

Is greater than 37:

3(x - 4) + 7 > 37

Solving the inequality:

3x - 12 + 7 > 37

3x - 5 > 37

3x > 37 + 5

3x > 42

`x > (42)/(3)`

x > 14

Federcio's age possible values are those that are greater than 14