two numbers are in ratio 3:5 if 9 is subtracted from each of the number the ratio becomes 12:23 find the greater number
Answers
Answered by
4
Step-by-step explanation:
Let the raitos be x then,
3x-9=12
------ ---
5x-9=23
(by cross multiplying)
23(3x-9)=12(5x-9)
69x-207=60-108
69x-60x=207-108
9x=99
x=11
the greater number=5x
5x=5*11
55
Hence, the greater number is 55
Answered by
0
Answer:
55
Step-by-step explanation:
Let the ratio = x
Therefore,
3x - 9/5x - 9 = 12x/23x
Applying cross multiplication method
Therefore,
23x(3x - 9) = 12x(5x - 9)
69x^2 - 207x = 60x^2 - 108x
-9x^2 + 99x = 0
x^2 - 11x = 0
x(x -11) = 0
As zero can't be the number in ratio
Therefore,
x = 11
Now,
Greater number = 5x = 5*(11) = 55
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