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A number consists of two digits whose sum is eight. if eight is added to the number its digits are reversed find the number.
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Let the number be 10x+y
then its digits are x and y
according to question
10x+y+8=10y+x
9x-9y=-8
x+y=8 (given)
after solving both equations
9x-9y=-8
9x+9y=72
18x=64
x=32/9
y=40/9
number=10x+y
320/9+40/9
=40
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