The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143/ What can be the original number?
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Step-by-step explanation:
x - y = 3 -- (1)
(10x + y) + (10y + x) = 143
11x + 11y = 143
11( x + y) = 143
x + y = 143/11
x + y = 13 -- (2)
solving 1 & 2, we get,
x = 8, y = 5
the original no.is 85
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