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?

Guest Mar 23, 2015

#1**+5 **

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????

CPhill
Mar 24, 2015

#1**+5 **

Best Answer

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????

CPhill
Mar 24, 2015