two number are in the ratio of 3:5 if 9 is subtracted from each the new numbers are in the ratio 12:23 the smaller number is?
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Answered by
1
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,
=
23(3x - 9) = 12(5x - 9)
69x - 207 = 60x - 108
69x - 60x = 207 - 108
9x = 99
x =
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.
Step-by-step explanation:
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Step-by-step explanation:
look at that photo attached
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