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
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let the number be 3xand 5x
them
(3x-9)/(5×-9) =12/23
23(3×-9)=12(5×-9)
69x-207=60x-108
69×-60×=-108+207
9×=99
×=99/9
x=11
now the smallest number is
3x
=(3×11)
=33
required answer
33
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