Question

sum of digit of a two digit number is 8 . if their digits are interchanged ,the new number is increased by 18 then the original number.

plz help me and solve it step by step or reply me ​

Answer 1

Answer:

Let the tens digit=x

and units digit=y

Hence sum x+y=8…………(i)

Number =10x+y

Number formed by reversing the digits =10y+x

(10y+x)=(10x+y)+18 i . e. 9y-9x=18

Or y-x=2…………..(ii)

Adding (i) and (ii) gives 2y=10

Hence y=5

hence from (i) x=8-y=8–5=3

hence Number =35

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