Sum of digits of a two digit number is 15. When we interchange the digit it is found that the resulting digit is greater than the original number by 27.what is original number?
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Answer:
96
Step-by-step explanation:
The original no is 10 y +x
The no formed by interchanging the digits is 10x+y
according to the first condition,
x+y = 15
according to second condition,
10y+x = 10x+y +27
x-10x + 10y -y = 27
-9x + 9y = 27
-x +y = 3( Multiplying throughout by 9)
adding 1 and 2
x+y = 15
-x+y = 3
__________
2y =18
y=9
substituting y=9 in equation1
x+y =15
x +9=15
x= 6
The original no =. 10(9)+6
=96.
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