Question

1. In which of the following sets, are the numbers in proportion?
(1) 5, 10, 15, 20 (2) 5. 20. 20. 100
(3) 5. 10. 10. 20 (4) 10, 20, 30, 40​

Answer 1

Step-by-step explanation:

in the first one (1) and in the fourth(4)

because

in(1)

the from the first each number gets added by 5 and so... the last becomes 20

in(2)

the same is also applied from(1) but here instead adding 5 to each number we add 10

Answer 2

3) 5:10:: 10: 20 is in proportion

Step-by-step explanation:

To check whether the given options are proportional or not

as we know

if a:b::c:d are in proportional then

ad = bc

Now

1) 5:10::15:20

$5\times 20 = 100\\\\10\times 15 = 150 \\\\100 \neq 150$

therefore it is not proportional

2) 5: 20:: 20: 100

$5\times 100 = 500\\\\20\times 20 = 400 \\\\400 \neq 500$

Therefore it is not in proportion

3)  5:10:: 10: 20

$5\times 20 = 100\\\\10\times 10 = 100 \\\\100 =100$

Therefore it is in proportion

$10\times 40 = 400\\\\20\times 30 = 600 \\\\400 \neq 600$

Therefore it is not in proportion

Hence , 3) 5:10:: 10: 20 is in proportion

#Learn more

Check if 5.2 : 3.9 : : 3:4 are in proportion or not

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