Question

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.........using ratio concept

Answer 1

Let the two numbers be 3x and 5x respectively.
According to the given problem,
(3x-9)/(5x-9)=12/23
=> 23×(3x-9) = (5x-9)× 12
=> 69x - 207 = 60x - 108
=>9x = 207-108
=>x = 99/9 = 11
Therefore, the two numbers are (3×11) =33 and (5×11)= 55.
The smaller number is 33.

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Answer 2

Answer:

=> The smaller number is 33.

Step-by-step explanation:

As per the data given in the question, we have to find a smaller number by using the concept of ratio.

Given that:-

The ratio of 2 numbers are $3:5$.

According to the question,

Let the number be $3x$ and $5x$,

So, it is written as:

$\frac{3x-9}{5x-9} =\frac{12}{53}$

By cross multiplication:

$=>23(3x-9)=12(5x-9)$

$=>69x-60x=207-108$

Subtracting the numbers

$=>9x=99$

$=>x=11$

Hence, the smaller number is:

$=>3\times 11\\=>33$