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THE SUM OF DIGITS OF A TWO-DIGIT NUMBER IS 7. IF THE DIGITS ARE REVERSED,THE NEW NUMBER DECREASED BY 2 EQUALS TWICE THE ORIGINAL NUMBER.FIND THE NUMBER.

Let the number be 10x+y.
Given that x+ y =7 .........(i)
and 10y + x = 2(10x + y)
implies  8y - 19 x = 0 ..........(ii)
solving these two equations we get, x and y.
 Then we can write the numbers.


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