Question

RIDDLE ME THIS Fresh and invigorated after completing her algebra homework, Mimi appeared at the living room door. She held a piece of paper covered in scribbled numbers, 'm's, 'd's, and equations. "Dad!" she announced. "Five years from now you'll be only double my age!" "Amazing!" Dad almost looked up from the TV, but knew she hadn't finished. "But five years ago, you were triple my age then!" "I suppose in another ten years we'll be the same age," Dad grunted, changing channels. How old is Mimi? Hint Don't pay any attention to Dad's rather mindless comment at the end! He'd had a tough day.

Answer 1

Answer:

Mimi is 15.

Step-by-step explanation:

Set up two equations, and solve by elimination.

 2(m+5) = d+5

- 3(m-5) =  d-5

_____________

2(m+5) - 3(m-5) = 10

2m + 10 - 3m + 15 = 10

-m + 25 = 10

-m = -15

m = 15

Plug this back in to get dad's age.

2(m+5) = d+5

2(15+5) = d + 5

2(20) = d + 5

40 = d + 5

d = 35