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Step-by-step explanation:
let the numbers be x,y
given that
x-y=3......................eq1
the original number is =10x+y
if they are interchanged=10y+x
they tell that the original number+interchanged=121
10x+y+10y+x=121
11x+11y=121
11(x+y)=121
x+y=11...............eq2
add eq1+eq2
2x=14
x=7
subtract eq2-eq1
y=4
then original number=10x+y=70+4=74
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