F.1 maths

2007-04-14 12:34 am
Derek is 7 years ypunger than Frankie. Helen is three-quarters the age of Derek. Gary is 9 years older than Helen. If Gary is 24, how old is Frankie?

Show ateps and use algebra.


THX``

回答 (3)

2007-04-14 12:38 am
✔ 最佳答案
Let the age of Frankie is a.
(a-7)x3/4 +9=24
(a-7)x3/4=15
a-7=20
a=27
Frankie is 27.

2007-04-13 17:37:41 補充:
a-7係Derek(a-7)x3/4係 Helen (a-7)x3/4 9係Gary
2007-04-14 1:31 am
Let the age of Frankie is a.
3(a-7)/4 +9=24
3(a-7)/4=15
a-7=20
a=27
Frankie is 27
2007-04-14 12:42 am
Let Derek be D, Frankie be F, Helen be H and Gary be G

F+7=D (1)
3/4D=H (2)
G-9=H (3)

If G=24, then from (3)
G-9=H
24-9=15
H=15

Then from (2)
3/4D=15
D=20

Then (1) gives
F+7=D
F=20-7=13

Therefore, Frankie is 13yrs old.

Thanks


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