Question

Two numbers are in ratio 3:5.if 9 is subtracted fro each the new numbers are in the 12:23.then smmaller number is?

Answer 1

Let,
Denominator = 5x
Numerator = 3x

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9 is subtractes from each,

$\frac{3x - 9}{5x - 9} = \frac{12}{23} \\ \\ 23(3x - 9) = 12(5x - 9) \\ \\ 69x - 207 = 60x - 108 \\ \\ 69x - 60x = - 108 + 207 \\ \\ 9 x = 99 \\ \\ x = \frac{99}{9} \\ \\ x = 11$




Smaller number = 3x =3 × 11 = 33



I hope this will help you


-by ABHAY

Answer 2

Heya ✋

Let see your answer !!!!

Let the numerator be 3x and

denominator be 5x.

According to question ,

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

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

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

=> 69x - 207 = 60x - 108

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

=> 9x = 99

=> x = 99/9

=> x = 11

Hence , the smaller number

= 3 × 11

= 33







Thanks :))))