The sum of the digits of a 2-digits number is 8.If the number obtained by Interchanging the digits is 36 more than the original numbers find the number.
If you add it than say why you add and if you subtract then tell me why you subtract it.If you are able to give me the reason then I shall mark you branilest
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Step-by-step explanation:
Let x be the digit at unit’s place and y be the digit at ten’s place.
Since y is at ten’s place, then the number formed is 10y+x.
By reversing the digits, it becomes 10x+y.
As the difference of the numbers is 18, so,
(10y+x)−(10x+y)=18
9(y−x)=18
y−x=2 .... (1)
As the sum of digits is 8, so,
x+y=8 .... (2)
On adding equations (1) and (2), we get
2y=10⇒y=5
Putting this in (2), we get x=8−5=3
x=3,y=5
Hence, number =10y+x=10×5+3=53.
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