state which of the following are in proportion? 8,80,6,9.
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Answer:
8:80::6:9
8*9=80*6
72=480
they are not in proportion
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Given: 8,80,6,9
To find Whether the above numbers are in proportion or not.
Solution: In mathematics, ratio and proportion are interconneced to each other. The pair that is in order and say r and s are two numbers which can be written as r/s where the denominator s never be 0. The two ratios which are equal to each other is referred to proportion in mathematics.
Now the above numbers can be written as 8:80::6:9 as the form of proportion.
∴ 8:80::6:9
⇒(8/80)=(6/9) [the ratios can be written as this]
⇒(8×9)=(6×80)
⇒72=480
Since the L.H.S.≠ R.H.S., therefore the numbers are not in proportion. [proved]
Hence the numbers 8,80,6,9 are not in proportion.
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