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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let the digits be x& y respectively
x-y=3..............(1)
10x+y+10y+x=143
11x+11y=143......(divide through 11)
x+y=13...................(2)
adding (1)& (2)
2x=16
x=8
substitute x=8 in eq(2)
y=5
x-y=3..............(1)
10x+y+10y+x=143
11x+11y=143......(divide through 11)
x+y=13...................(2)
adding (1)& (2)
2x=16
x=8
substitute x=8 in eq(2)
y=5
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Answer:
8,5
Step-by-step explanation:
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