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Can you explain the answer of this question below:
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:
  • A:
    27
  • B:
    33
  • C:
    49
  • D:
    55
The answer is B.
Verified Answer
Can you explain the answer of this question below:Two number are in th...
Let numbers are 3x and 5x.3x - 9 : 5x - 9 :: 12 : 2323*(3x-9) = (5x-9)*12x = 11Second number is 5x.The correct option is B.
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Most Upvoted Answer
Can you explain the answer of this question below:Two number are in th...
Given:
The ratio of two numbers is 3:5
After subtracting 9 from each number, the new ratio is 12:23

Let's assume the two numbers in the original ratio are 3x and 5x.

Ratio of the new numbers:
(3x-9) : (5x-9) = 12 : 23

Cross-multiplying, we get:
12(5x-9) = 23(3x-9)

Simplifying the equation:
60x - 108 = 69x - 207
-9x = -99
x = 11

Finding the smaller number:
Smaller number = 3x = 3 * 11 = 33

Therefore, the smaller number is 33, which corresponds to option 'B'.
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Community Answer
Can you explain the answer of this question below:Two number are in th...
Let assume 3x:5x
if 9 is subtracted from both then it will be
(3x-9):(5x-9)
let put 12 :23 in their equal
(3x-9):(5x-9)=12:23
after simplifying it we obtain
the value of X that is 11
let put the value of x in the equation
3×11=33
so the answer is B
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