Aptitude - Ratio and Proportion - Discussion
Discussion Forum : Ratio and Proportion - General Questions (Q.No. 14)
14.
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:
Answer: Option
Explanation:
Let the numbers be 3x and 5x.
| Then, | 3x - 9 | = | 12 |
| 5x - 9 | 23 |
23(3x - 9) = 12(5x - 9)
9x = 99
x = 11.
The smaller number = (3 x 11) = 33.
Discussion:
27 comments Page 1 of 3.
Omprakash said:
1 decade ago
Why divide the 3x-9/5x-9 ?
Mona said:
1 decade ago
Because in question they told each number is subtracted from 9 that's why.
Kiran said:
1 decade ago
How come 9x ?
Parul said:
1 decade ago
Its simplification if the equation:
23(3x-9)=12(5x-9)
69x-207=60x-108
69x-60x=-108+207
9x=99
x=11
23(3x-9)=12(5x-9)
69x-207=60x-108
69x-60x=-108+207
9x=99
x=11
(3)
Sundus said:
1 decade ago
Why multiply 3*11 ?
Muskan said:
1 decade ago
@ sundus.
Because the ratio is 3:5. 3 is the smaller number.
Because the ratio is 3:5. 3 is the smaller number.
Chandan said:
1 decade ago
In question they told each number is subtracted from 9. Then the answer would be (3*11) - 9 = 24. But they've not given 24 as the option to choose.
V.k said:
1 decade ago
@Chandan.
Because the no. is only 3x not the 3x-9.
Because the no. is only 3x not the 3x-9.
Sri said:
1 decade ago
Shouldn't it be 55?
Vishnu said:
1 decade ago
@Sri.
In question asking only smaller number,
Let see 3:5 smaller number is 3, higher number is 5.
So that we take 3 *11 = 33.
In question asking only smaller number,
Let see 3:5 smaller number is 3, higher number is 5.
So that we take 3 *11 = 33.
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