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4 votes
In three year's time, Mr Sullivan will be 3 times as old as his daughter. Six years ago, he was 6 times as old as her. How old are they now?

User Archna
by
6.1k points

1 Answer

3 votes
s=sullivan's age
d=daughter's age


in 3 years time (s+3 and d+3)
sulivan is 3 times as old as daughter
s+3=3(d+3)

6 years ago (s-6 and d-6)
he was 6 times as old
s-6=6(d-6)

expand

s+3=3d+9
s-6=6d-36
for 2nd equation, add 6 to both sides
s=6d-30
sub 6d+30 for s in other equation
6d-30+3=3d+9
6d-27=3d+9
minus 3d both sides
3d-27=9
add 27 both sides
3d=36
divide both sides by 3
d=12

sub back

s=6d-30
s=6(12)-30
s=72-30
s=42



Mr. Sullivan is 42 now
Daughter is 12 now
User ChrisDanger
by
5.8k points
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