Question

two numbers are in the ratio of 3:5 if 9 is subtracted from each the new numbers are in the ratio 12:23 the smaller number is?​

Answer 1

Answer:

Let the numbers are 3x & 5x.

a/q

$\frac{3x - 9}{5x - 9} = \frac{12}{23} \\ 69x - 207 = 60x - 108 \\ 9x = 99 \\ x = 11 \\ so \: numbers \: are \: 3 \times 11 = 33 \: \: and \: \: 5 \times 11 = 55$

Ans.

Answer 2

Step-by-step explanation:

let the first no. be 3x

and second no. be 5x

then,

according to question,

3x-9/5x-9 = 12/23

23(3x-9) = 12(5x-9). by cross multiplication

or, 69x-207 = 60x-108

or, 69x-60x = -108 + 207

or, 9x = 99

or, x = 11

hence, the smaller no. = 3x = 3 × 11 = 33