sum of the digits number is 9 . when we interchange the digits it is found that the resulting new number is greater then the original number by 27 .what is1 two digit number.
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Answered by
5
Answer:
The new number is greater than the old number by 27, i.e. Adding the two equations, we get 2y = 12 or y = 6. Thus, x = 3. Therefore, the original number is 36
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Answered by
1
Step-by-step explanation:
tens digit =X
ones digit=9-x
original number =10×x+9-x
=10x+9-x
=9x+9
interchanged number=10(9-x)+X
=90-9x
equation=90-9x-(9x+9)=27
90-9x-9x-9=27
90-18x-9=27
-18x+81=27
-18x=-54
X=3
original number =9x+9
=9×3+9
=27+9
=36
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