State which of the following are in proportion.
a) 7:3:: 63:27
b) 60 g: 50 g:: 180 l: 150 l
c) 10 minutes : 1 hour :: 6 hours : 36 hours
d) 20 days : 1 year :: 60 days : 2 years
Answers
Answer:
a)They are in proportion
b)They are in proportion
c)They are in proportion
d)They are not in the proportion
Step-by-step explanation:
a)Given that:-
7:3:: 63:27
Product of means=3×63=189
Product of extremes=7×27=189
Product of extremes=Product of means
7,3,63,27 are in the proportion.
b)60 g: 50 g:: 180 l: 150 l
Product of extremes=60×150=9000
Product of means=50×180=9000
Product of extremes= Product of means
60g,50g,180l,150l are in the proportion.
c)10 minutes : 1 hour :: 6 hours : 36 hours
=>10mimutes:60 minutes::360 minutes:2160 minutes
Product of means=60×360=21600
Product of extremes=10×2160=21600
Product of extremes=Product of means
10min.,1hour,6hours,36hours are in the proportion.
d) 20 days : 1 year :: 60 days : 2 years
1 year=365 days
2 years=2×365=730 days
20 days : 1 year :: 60 days : 2 years
=>20:365::60:730
Product of Means=365×60=21900
Product of extremes=20×730=14600
Product of extremes≠Product of means
so ,
20 days,1 year,60 days,2 years are not in the proportion.
a) solu-7*27
= 189
= 3*63
= 189
They are proportion.