Question

a number consist of two digit whose sum is 8 if 18 is added to tge number its digits arereversed.find the number​

Answer 1

Given in the Question,

• A number consist of two digit whose sum is 8.
• if 18 is added, the number gets reversed.

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Solution:-

Let the 1st digit be x

2nd digit = 8-x

According to Question,

10x+(8-x) +18= 10(8-x) + x.....Now let's solve this equation

9x+26=80-10x+x

9x+26=80-9x

9x+9x=80-26

18x=54

x=3

We got the first digit 3,

second digit= 8-3= 5

Original digit=35

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Verification:-

10(3) +(8-3)+18

=30+5+18

=35+18

=53

And, 35+18=53

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Condition check

•Adding 18 to the number reverses the digit ✔️

•Sum of digits =3+5=8 ✔️