SOLVE THIS: 4 years ago, Kate was 4 times younger than her dad. 3 years ago, she was 3 times younger than her dad. Whats her age TODAY?

4 years ago, Kate was 4 times younger than her dad. 3 years ago, she was 3 times younger than her dad. Whats her age TODAY? 

Let her age now be= x  .....    and let her father's age now be y  

So

(x - 4)4  = y - 4        →  4x - 16  = y - 4   →   4x - y  = 12       (1)  

(x - 3)3  = y - 3         →  3x - 9 = y - 3      →   3x - y =    6       (2)

Multiplying (2) by -1 and adding it to the first, we have

x = 6 and that's Kate's age now

 And solving for y, we have

4(6) - y = 12

y = 12  and that's her "father's" age now

This doesn't actually make sense......maybe it would make more sense if it were her brother.....but...

The math works out.....

4 years ago, she was 2 and her "father" was  8

3 years ago, she was 3 and her "father" was 9

Hey...it's a strange family.....what can I say????

Thanks Chris :)