# 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 3*x* and 5*x*.

Then, | 3x - 9 |
= | 12 |

5x - 9 |
23 |

23(3*x* - 9) = 12(5*x* - 9)

9*x* = 99

*x* = 11.

The smaller number = (3 x 11) = 33.

Discussion:

26 comments Page 1 of 3.
Ramzan said:
1 year ago

How we got 9x=99?

(7)

Vishal Bhagure said:
3 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.

Sushant said:
4 years ago

@Bhavik you are wrong.

Bhavik said:
5 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.

(3)

Zainab said:
6 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.

(5)

Vishal said:
6 years ago

Easy and best way Subtract 1st number to 2nd number of new ratio i.e. 12-23.

So, the difference = 11 so we got each fraction number for ration so, 11 per fraction * small 1st ratio number i.e.3 so, 11*3=33.

So, the difference = 11 so we got each fraction number for ration so, 11 per fraction * small 1st ratio number i.e.3 so, 11*3=33.

(2)

Juke said:
7 years ago

Let x be the smaller number.

y be the larger number.

1st equation:

(x/y)=(3/5)

2nd equation:

(x-9)/(y-9)=12/23.

Then solve for x and y.

x = 33 and y = 55.

Though my solution is different i still arrive at the same answer.

I think my equation is easy to understand.

y be the larger number.

1st equation:

(x/y)=(3/5)

2nd equation:

(x-9)/(y-9)=12/23.

Then solve for x and y.

x = 33 and y = 55.

Though my solution is different i still arrive at the same answer.

I think my equation is easy to understand.

(1)

Priya said:
7 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:
8 years ago

Well said @Bharath.

Bharath said:
8 years ago

This question can be solved very easily.

Here the first ratio is a : b :: 3 : 5 that means "a" should be in multiples of 3 so the answer in the option must be either 33 or 27.

The next part is it is subtracted by 9 then the answer should satisfy ratio 12 : 23. So if 27 - 9 = 18 it is not multiple of 12 but 33 - 9 = 24.

24 is multiple of 12 so 24 is the answer.

Here the first ratio is a : b :: 3 : 5 that means "a" should be in multiples of 3 so the answer in the option must be either 33 or 27.

The next part is it is subtracted by 9 then the answer should satisfy ratio 12 : 23. So if 27 - 9 = 18 it is not multiple of 12 but 33 - 9 = 24.

24 is multiple of 12 so 24 is the answer.

(9)

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