Aptitude - Ratio and Proportion - Discussion
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Read more:"Time and tide wait for none."
- Alexander Pope
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Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:
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27 | [B]. |
33 | | [C]. |
49 | [D]. |
55 |
Answer: Option D
Explanation:
Let the numbers be 3x and 5x.
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3x - 9 |
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12 |
| 5x - 9 |
23 |
 23(3x - 9) = 12(5x - 9)
9x = 99
x = 11.
 The smaller number = (3 x 11) = 33.
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Omprakash said:
(Thu, Jan 20, 2011 04:37:22 AM)
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| Why divide the 3x-9/5x-9 ? |
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Mona said:
(Sat, Jan 29, 2011 05:53:19 AM)
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| Because in question they told each number is subtracted from 9 that's why. |
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Kiran said:
(Thu, Feb 3, 2011 05:45:46 AM)
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| How come 9x ? |
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Parul said:
(Thu, Mar 3, 2011 06:40:48 AM)
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Its simplification if the equation:
23(3x-9)=12(5x-9)
69x-207=60x-108
69x-60x=-108+207
9x=99
x=11 |
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Sundus said:
(Sat, Jul 9, 2011 08:59:47 AM)
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| Why multiply 3*11 ? |
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Muskan said:
(Wed, Oct 19, 2011 03:03:25 PM)
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@ sundus.
Because the ratio is 3:5. 3 is the smaller number. |
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