ratio of two numbers is 3:11 if the later number be 55 .find the former number
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6
ANSWER
Let x and y are two numbers
According to the question
y
x
=
11
7
x=
11
7y
.......(i)
Now,
y+7
x+7
=
3
2
3x+21=2y+14
3x=2y−7......(ii)
Substitute value of x from (i) to (ii)
3(
11
7y
)=2y−7
21y=22y−77
y=77
x=
11
7y
x=
11
7×77
x=7×7
x=49
Therefore the numbers are 49 and 77
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