Question

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

Answer 1

Answer:

let the ratio be 3x ,5x ,12x ,23x

3x-9/4x-9=12x/23x

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

69x-207=60x-108

69x-60x=-108+207

9x=99

x=99/9

x=11 ans

Answer 2

Answer:

When 9 subtracted from 3x and 5x, the ratio of the numbers becomes 12 : 23. ∴ The smaller number is 33 and the bigger number is 55 respectively.

Step-by-step explanation:

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