Question

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

Answer 1

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 2

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