Q3. Two numbers are in the ratio 5:9 on subtracting 3 from each, the ratio becomes 1:2. Find the numbers
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Answered by
5
Answer:
Let the two numbers be x and y.
As per condition 1, i.e., Two numbers are in the ratio 5:6.
The equation becomes,
y
x
=
6
5
∴6x−5y=0 ..........(1)
As per condition 2, If 8 is subtracted from each of the numbers the ratio is 4:5.
The equation becomes,
y−8
x−8
=
5
4
∴5x−4y=8 ...........(2)
Equation (1) can be written as x=
6
5y
Substituting x=
6
5y
in (2) we get,
y=48
Re substituting y=48 in (1) we get,
x=40
Hence Numbers are 40,48.
Step-by-step explanation:
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1
Answer:
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