Sum of the digits of a two digit number is 8. If the digits are interchanged, the new number formed is 18 more than the original number. The original number is : *
26
71
35
44
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Sum of the digits of a two digit number is 8. If the digits are interchanged, the new number formed is 18 more than the original number. The original number is : *
26
71
35
44
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Answer:
As given,
10y + x-10x-y=18
=> 9(y -x) = 18
=>y-x = 2....(1)
Again, x + y = 8 ...(ii)
From (i) and (ii)
2y = 10
=>y = 5
\( \Large \therefore \)x = 3 [from(i)]
Number=10x + y =\(\Large 10 \times 3 \)+ 5 = 35
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Answer:
35
Step-by-step explanation:
As given,
10y + x-10x-y=18
=> 9(y -x) = 18
=>y-x = 2....(1)
Again, x + y = 8 ...(ii)
From (i) and (ii)
2y = 10
=>y = 5
\( \Large \therefore \)x = 3 [from(i)]
Number=10x + y =\(\Large 10 \times 3 \)+ 5 = 35