a number consists of two digit. the sum of digit is 12. if 36 is subtracted from the number the digits changed their places. find the number
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Answer:84
Step-by-step explanation:
Let the two digits of the number be x and y.
Therefore,A/Q,
x+y=12
=>x+y-12=0...I
Now, it is said that on subtracting 36 from the number, it's digits reverse.
Therefore,
10x+y-36=10y+x
9x-9y-36=0
=>x-y-4=0[dividing both sides by 9]...ii
Now, adding I and ii we get,
2x=16
=>x=8
Therefore, 12-8=4
Therefore the required number is 84.
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