Two numbers are in ratio 3 is to 5. If 9 is subtracted from the numbers ratio becomes 12 is to 23. Find the number.
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Answer:
Smaller number = 33
Bigger number = 55
Step-by-step explanation:
Let the numbers in the ratio 3 : 5 be 3x and 5x
If 9 subtracted from each of them, the numbers becomes 3x - 9 and 5x - 9
When 9 subtracted from 3x and 5x, the ratio of the numbers becomes 12 : 23.
According to the question,
\dfrac{3x - 9}{5x - 9}5x−93x−9 = \dfrac{12}{23}2312
23(3x - 9) = 12(5x - 9)
69x - 207 = 60x - 108
69x - 60x = 207 - 108
9x = 99
x = \dfrac{99}{9}999
x = 11
1st number => 3x
=> 3 * 11
=> 33
2nd number => 5x
=> 5 * 11
=> 55
∴ The smaller number is 33 and the bigger number is 55 respectively.
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