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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Answer:
X = 5
Y = 8
Step-by-step explanation:
We have given
X + 3 = Y
and
( 10x + y ) + ( 10y + X ) = 143
11x + 11y = 143
11x + 11(x + 3) = 143. By substation method
22x + 33 = 143
22x = 143 - 33
22x = 110
X = 110/22
X = 5
X + 3 = y
5 + 3 = y
hence proved
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