Question

The ratio of a 2 digit number to the number obtained by reversing its digits is 5:17. if the sum of its digits is 6, find the number. use only one variable. i will thank i will brainlist if it is right please fast please answer i will give extra points please please please please please please please please please please please please please please please please please please please please please please

Answer 1

Answer:

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Answer 2

Let the ten's place digit for original number be x .

Then Unit's place digit will be ( 6 - x ) as sum of digits is 6 .

Number = 10x + 6 - x = 9x + 6  

∵  { Multiplying the ten's place by 10 }

After reversing the digits :

Ten's place = ( 6 - x )

Unit's place = x

Number obtained by reversing the digits = 10 ( 6 - x ) + x

∵  { Multiplying the ten's place by 10 }

= 60 - 10x + x = 60 - 9x

According to question,

( 9x + 6 ) / ( 60 - 9x ) = 5 / 17

17( 9x + 6 ) = 5( 60 - 9x )

153x + 102 = 300 - 45x

198x = 198

x = 1

Required number = 10( x ) + ( 6 - x )

= 10 + ( 6 - 1 )

= 10 + 5

= 15