Question

two numbers are in ratio of3:5 .if 9 is subtracted from each of the number.the ratio becomes 12:23 . find the greater number. ​

Answer 1

Answer:

Step-by-step explanation:

Let the number be 3x and 5x Then,3x−95x−9 = 1223

⇒23(3x−9)=12(5x−9)

⇒9x=99⇒x=11

∴The smaller number = 3 × 11 = 33

∴The greater number = 5× 11 = 55

Answer 2

Let the numbers be 3x and 5x.

Then, 3x - 9 = 12

_________

5x - 9 = 23

= 23(3x - 9) = 12(5x - 9

=9x = 99

= x = 11.

The smaller number = (3 x 11) = 33.