Question

class 10
linear equations

The sum of the digits of a two digit number is 12. the number obtained by interchanging its digits exceeds the given number by 18. Find the number.

Please do step by step

Answer 1

Answer:required number = 57

let the digit at tens place be= X

let the digit at ones place be = Y

         x+y=12

10x+y+18=10y+x

9x+18   = 9y/9

x+2    = -2

X+y=12

x-y= -2

________

2x  =  10

x = 5

x=y 12

  y= 12 - 5

  y = 7