Sum of the digits of a two-digit number is 9 when we interchange the digits, it is found that the resulting new number is greater than the original number by 27.
Answers
Answered by
14
Answer:
63
Step-by-step explanation:
x+y=9
x-y=3
-----------
x=6
y=3
so original no.is 63
Answered by
6
Answer:
Step-by-step explanation:
Let the digits be x,y
Given,
x+y = 9
=> y = 9-x
Let the original number be (10y + x),
New number be (10x + y),
Also given,
(10y + x) + 27 = (10x + y)
By taking y as (9-x),
=> 10(9-x)+x+27 = 10x+9-x
=> 90-10x+x+27 = 9x+9
=> 117-9x = 9x+9
=> 18x = 108
=> x = 108/18 = 6
=> y = 9-6 = 3
Therefore,
Digits = 3,6
=> Original number = 36
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