Question

a number consists of two digits whose sum is 8.if18is added to the number,its digits get interchanged.find the number​

Answer 1

Answer:

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Step-by-step explanation:

The number is 10x+y

When digits are reversed, the number becomes 10y+x.

We have,

x+y=8   ....(1)

10x+y+18=10y+x

x−y+2=0   ....(2)

Solving (1) and (2), we get

x=3,y=5

∴ the number is 35.

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Answer 2

Answer:-

Let one of the digit of the two digit number is x.

then problem other number is (8−x)

So,we get the equation

10x+(8−x)+18=10(8−x)+x

10x+8−x+18=80−10x+x

9x+26=80−26

18x=54

x= 54/18

x=3

Then,

The digit in tens place is 3

The digit in ones place is (8−3=5), then

the number is 35 and when 18

is added the result is 53 the digits interchange their position in the new number.

Then,

We get the number is 35