The sum of digit of a two digit number is 9
also,9×this number=2×reverse no.
find the number
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Rahulverma22:
this question is in Right form dear...
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let the digit in one's place be x.
and the digit in ten's place be y.
then number =10y+x.
A/q
x+y=9...........................1.
and
9(10y+x)=2(10x+y)
90y+9x=20x+2y
88y=11x
y=11x/88=x/8...............2.
putting value of y in eq1.
x+x/8=9
8x+x=72
9x=72
x=8
putting value of x in eq2.
y=8/8=1
number =10y+x
=10(1)+8
=18
and the digit in ten's place be y.
then number =10y+x.
A/q
x+y=9...........................1.
and
9(10y+x)=2(10x+y)
90y+9x=20x+2y
88y=11x
y=11x/88=x/8...............2.
putting value of y in eq1.
x+x/8=9
8x+x=72
9x=72
x=8
putting value of x in eq2.
y=8/8=1
number =10y+x
=10(1)+8
=18
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