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:
27
33
49
55
Explanation:
Let the numbers be 3x and 5x.
Then, $\dfrac{3x-9}{5x-9} = {12}{23}$
=> 23(3x - 9) = 12(5x - 9)
=> 9x = 99
=> x = 11.
ஃ The smaller number = (3 x 11) = 33.
Let the numbers be 3x and 5x.
Then, $\dfrac{3x-9}{5x-9} = {12}{23}$
=> 23(3x - 9) = 12(5x - 9)
=> 9x = 99
=> x = 11.
ஃ The smaller number = (3 x 11) = 33.