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# 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?

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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
+83935
+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
Sort:

#1
+83935
+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
#2
+91900
0

Thanks Chris :)

Melody  Mar 25, 2015

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