Math, asked by aakansha46, 7 months ago

Sum of digits of a two digit number is 8. If their digits are interchanged,
the new number is increased by 18 than the original number. Find the
original number.​

Answers

Answered by sangeethamuthuvelan
4

Answer:

What is the 2 digit number?

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

Answered by Madhuhar
7

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