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:
28 comments Page 2 of 3.
Bhavik said:
6 years ago
x/y = 3/5. Than,
x-9/y-9 = 12/23.
Now solve both the equation.
23x-12y=99 and 5x-3y=0.
Therefore x=33 and y=55.
So smaller no. is 33.
x-9/y-9 = 12/23.
Now solve both the equation.
23x-12y=99 and 5x-3y=0.
Therefore x=33 and y=55.
So smaller no. is 33.
(5)
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.
(1)
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
(4)
Zainab said:
7 years ago
It can be slove like this please let me know?
New ration is;
12:23:=36.
36-9=33.
New ration is;
12:23:=36.
36-9=33.
(10)
Vishal Bhagure said:
4 years ago
I am getting x = 8.
By taking 3 as common multiple and dividing the same by 12.
By taking 3 as common multiple and dividing the same by 12.
Mona said:
1 decade ago
Because in question they told each number is subtracted from 9 that's why.
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.
Priya said:
9 years ago
@Ajit.
I also have the same doubt.
Can anyone explain us?
I also have the same doubt.
Can anyone explain us?
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.
Kanika said:
1 decade ago
Why they multiplied 3 with x and 5 with y?
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