4. Sum of digits of a two digit number is
12. When we interchange the digits, it is
found that the resulting new number is
smaller than the original number by 36.
What is the original number?
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4. Sum of digits of a two digit number is
12. When we interchange the digits, it is
found that the resulting new number is
smaller than the original number by 36.
What is the original number?
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Answer:
Sum of digits of a two digit number is 12
possibilities = (3,9),(4,8),(5,7),(6,6)
when we interchange digits
39-93
48-84
57-75
66-66
Now the resulting number is smaller than original number by 36
93-39=54
84-48= 36
75-57= 18
So the number is 48
Answer:
ANSWER
Let the tens digit of the required number be x and the units digit be y. Then,
x+y=12 .........(1)
Required Number = (10x+y).
Number obtained on reversing the digits = (10y+x).
Therefore,
(10y+x)−(10x+y)=18
9y−9x=18
y−x=2 ..........(2)
On adding (1) and (2), we get,
2y=14⟹y=7
Therefore,
x=5
Hence, the required number is 57.
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