Question

Two numbers are in the ratio 3:5.if 9 is subtracted from each,the new numbers are in ratio 12:23 and the small nunber is

Answer 1

Answer:

Two numbers are in the ratio of 3:5

Let the two numbers be 3x:5x

If the two numbers are subtracted from the numerator and denominator

3x-9/5x-9=12/23

cross multiplication

12[5x-9]=23[3x-9]

60x-108=69x-207

60x-69x=-207+108

-9x=-99

9x=99

x=11

We should find these numbers

3x=3×11=33

5x=5×11=55

The smallest number is 3x which is equal to 33