Question

6. John is six years older than his sister Ella. Three times Ella’s age less

two times John’s age is 13. Define appropriate variable(s) and write equation(s) to represent the situation. Solve to find John and Ella’s ages. Show all work and write a
conclusion.

Answer 1

John is 31

Ella is 25

Explanation:

Let sister's age be x, then John's age is (x + 6). So from sentence 2,

(3x) - 2(x + 6) = 13

3x - 2x - 12 = 13

x = 13 + 12 = 25

and x + 6 = 31