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Let the ratio be x
therefore,
tens digit =2x
unit digit =3x
Before interchange
Unit digit =3x
Tens digit =2x
therefore ,digit =(10*2x)+3x
=23x
After interchange
Unit digit =2x
Tens digit =3x
therefore, digit =(10*3x)+2x
=32x
3According to question
32x-23x=27
:9x=27
:x=3
Therefore
Unit digit =3x=9
Tens digit =2x=6
therefore, digit =(6*10)+9
=69
therefore,
tens digit =2x
unit digit =3x
Before interchange
Unit digit =3x
Tens digit =2x
therefore ,digit =(10*2x)+3x
=23x
After interchange
Unit digit =2x
Tens digit =3x
therefore, digit =(10*3x)+2x
=32x
3According to question
32x-23x=27
:9x=27
:x=3
Therefore
Unit digit =3x=9
Tens digit =2x=6
therefore, digit =(6*10)+9
=69
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