Two numbers are in the ratio of 3:5 After subtracting 9 from each the ratio of numbers become 12:23 Calculations: Let the number be 3x and 5x According to the question ⇒
(3x−9)
(5x−9)
=
12
23
⇒23(3x−9)=12(5x−9) ⇒69x−207=60x−108 ⇒69x−60x=207−108 ⇒9x=99 ⇒x=11 ∴ The smaller number is 3×11=33