Question

The ratio of the tens digit to the ones digit of a two digit number is 2:3. If 27 is added to the number the digits interchange tgeir places.Find the number

Answer 1

The ratio of the tens digit to the ones digit of a two digit number is 2:3

let the tens digit be 2x and the unit digit be 3x

∴the nos becomes [2x*10 +3x*1] = [20x+3x] =23x  [Multiplying the digits with their place value]

now when the nos get interchanged  the new nos becomes  [3x*10 +2x*1] = [30x+2x] =32x  

ATP

⇒23x +27 =32x

⇒27 =32x -23x  =9x

⇒27=9x ⇒ x=3

∴ the nos is 23x =23*3 =69  ANS

check

69 +27 =96 digites are reversed prooved

plz mark brainliest if it is helpfull

Answer 2

i think the nos is  69  and 96