Question

two numbers are in the ratio 3:5 if 9 is subtracted for each then they are in the ratio 12 :23 find the second number is​

Answer 1

Answer:

55

Step-by-step explanation:

$3x - 9 \div 5x - 9 = 12 \div 23 \\ 23(3x - 9) = 12(5x - 9) \\ 69x - 207 = 60x - 108 \\ 69x - 60x = - 108 + 207 \\ 9x = 99 \\ x = 11 \\ 5x = 55$

Answer 2

Answer:

Let's the two numbers be 3x and 5x

if 9 is subtracted from each=3x-9/5x-9

which become 12/23

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

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

69x-207=60x-108

69x-60x=-108+207

9x=99

X=99/9

X=11