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sum of the digits of two digit number is 9.the number obtained by inter changing the digit is 18 more than twice the original number the original number is :
a)72
B)27
C)63
d)36
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Answers
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The answer is 27
EXPLANATION :
let's say X is the unit digit and Y is the tenth digit.
y+x=9 -> y=9-x
10x+y =10y+x+27
10x+9-x=10(9-x)+x+27
10x+9-x=90-10x+x+27
18x=108
x=6
so y=3
let's check
63-39=27
27=27(correct)
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Answer:
The original number is 27
Step-by-step explanation:
Let the first number be x
We know that the sum of the digits is 9.
Therefore, first number + second number = 9
The first number is in tens place. So it is 10x and second number is 9-x.
When we add this we get, 10x + 9-x = 9x-9, this is the original numer.
By the question if we inverse this number ,
tens place will be 10(9-x) and ones place will be x
When we add this we get, 90- 10x+x = 90-9x
Now, the queststion say,
90-9x = 2(9x - 9) +18
Therefore, 90-9x = 18 +36
therefore, x = 2
Now, let us substiute the 2 in the place of x in the original number
Thus, tens place is 20 and ones place is 9-2 = 7
Adding this we get the number 27
HOPE THIS HELPS YOU.. THANKS FOR READING!!!