Question : Two numbers are in the ratio of 3 : 5. If 9 is subtracted from each, then they are in the ratio of 12 : 23. Find the numbers.
Option 1: 15 and 28
Option 2: 36 and 115
Option 3: 33 and 55
Option 4: 60 and 69
Answer (1)
27th Jan, 2024
Correct Answer: 33 and 55
Solution :
Let the numbers be $3x$ and $5x$.
According to the question,
$\frac{3x-9}{5x-9}=\frac{12}{23}$
$⇒69x -207 = 60x-108$
$⇒9x = 99$
$⇒x =11$
Thus, the numbers are 33 and 55.
The correct answer is 33 and 55.
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