Question

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

Answer 1

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