Two numbers are in the ratio of 3:5. If 9 is subtracted from each, then new numbers are in the ratio of 12:23. The smaller number is
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Let two no. be 3x and 5x respectively
(3x-9)/(5x-9) = 12/23
23(3x-9) =12(5x-9)
69x-207 = 60x - 108
69x-60x = - 108 + 207
9x = 99
x = 11
Hence , 3x = ( 3×11)= 33
5x = ( 5 × 11 )=33
the smallest number is 33
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