The digits of a two digit number differ by 3. If the digits are interchange and resulting number is added to the original number, We get 143. What can be the original number
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Let the 2 digit no. be x in tens place and y in ones place.
So, x-y=3______(i)
Original no. =10x+y
Interchanged no. =10y+x
According to the statement,
(10y+x)+(10x+y)=143
=>11y+11x=143
=>11(y+x) =143
=>x+y=143/11
=>x+y=13_________(ii)
Adding eq(i) and (ii) we get,
(x+y)+(x-y)=13+3
=>x+x+y-y=16
=>2x=16
=>x=8
x+y=13
=>8+y=13
=>y=5
Thus, the original no. is 85.
So, x-y=3______(i)
Original no. =10x+y
Interchanged no. =10y+x
According to the statement,
(10y+x)+(10x+y)=143
=>11y+11x=143
=>11(y+x) =143
=>x+y=143/11
=>x+y=13_________(ii)
Adding eq(i) and (ii) we get,
(x+y)+(x-y)=13+3
=>x+x+y-y=16
=>2x=16
=>x=8
x+y=13
=>8+y=13
=>y=5
Thus, the original no. is 85.
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