The sum of a two digit number and the number obtained by interchanging the digits of the number is 121. If the digits of the number differ by 5 then find such numbers.
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Let unit place digit be (x).
Let tens place digit be (y).
Then no.=10y+x. -(1)
On intechanging no. will be 10x+y. -(2)
Given,x-y=5. -(3) Now10y+x+10x+y=121 .On solving this we get x+y=11. -(4) .On solving (3)&(4),we get:x=8,y=3. Finally no.is 83
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