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:
85
Step-by-step explanation:
let original number
10x+y
x-y=3 (according to question)_____(1)
also we add to reverse digits and it's original we get 143 ( according to question)
10x+y+10y+x=143
11x+11y=143
11(x+y)=143
=>x+y=13________(2)
add (1) and (2)
2x=16=>x=8
y=5
so
original digit = 10x+y=10×8+5=85
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