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 2 of 3.
ADITYA MISHRA said:
1 decade ago
3/5=2R (5-3=2 i.e. difference).
12/23=11R (23-12=11).
3/5*11 multiply by 2nd difference = 33/55.
12/23*2 multiply by 1st difference = 24/46.
9R = 9 i.e R = 1. So that smaller no 33.
12/23=11R (23-12=11).
3/5*11 multiply by 2nd difference = 33/55.
12/23*2 multiply by 1st difference = 24/46.
9R = 9 i.e R = 1. So that smaller no 33.
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.
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?
KOALA said:
9 years ago
Well said @Bharath.
Ajit said:
9 years ago
The two number should be X &Y and then their proportion is 3:5 then the sum will be 3x - 9/5y - 9 = 12/23.
23 (3x - 9) = 12 (5y - 9) => 69x - 207 = 60y - 108 = > 69x - 69y = 207 - 108 then what to do? Please tell me.
23 (3x - 9) = 12 (5y - 9) => 69x - 207 = 60y - 108 = > 69x - 69y = 207 - 108 then what to do? Please tell me.
Rahul said:
9 years ago
Hi, I got this as answer, am I right?
(3x - 9)/(5x - 9) = 12/23.
3(x - 3)/(5x - 9) = 12/23.
(x - 3)/(5x - 9) = 4/23.
23 * (x - 3) = 4 * (5x - 9).
23x - 69 = 20x - 45.
3x = 24.
x = 8.
(3x - 9)/(5x - 9) = 12/23.
3(x - 3)/(5x - 9) = 12/23.
(x - 3)/(5x - 9) = 4/23.
23 * (x - 3) = 4 * (5x - 9).
23x - 69 = 20x - 45.
3x = 24.
x = 8.
Omprakash said:
1 decade ago
Why divide the 3x-9/5x-9 ?
Sathish said:
1 decade ago
3x-9/5x-9=? How please explain?
Kanika said:
1 decade ago
Why they multiplied 3 with x and 5 with y?
Gerald said:
1 decade ago
@Chandan.
From the question they gave new ratio as 12:23 so from the answer 3 * 11 =33. 33-9 =24. and 5 * 11 =55, 55-9=46, then it is in the ration of 24:46, therefore divide both by 2 you will get the new ratio of 12:23.
From the question they gave new ratio as 12:23 so from the answer 3 * 11 =33. 33-9 =24. and 5 * 11 =55, 55-9=46, then it is in the ration of 24:46, therefore divide both by 2 you will get the new ratio of 12:23.
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