Question

a number is 27 more than the number obtained by reversing its digits if its units and tens digit are X and Y respectively write the linear equation representing the above statement.

Answer 1

Answer:

let the number in the ones place be X and the number in tens place be y the number will be 10y+x ----------1

by reversing the digit we get 10x+y--------2

and according to the given information

equation one is 27 more equation 2

$10y + x = 27 + 10x + y \\ 10x - x + y - 10y + 27 = 0 \\ 9x - 9y = 0 \\ 9(x - y + 3) = 0 \\ x - y + 3 = 0 \\ x-y=-3$

Answer 2

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let the number in the ones place be X and the number in tens place be y the number will be 10y+x ----------1

by reversing the digit we get 10x+y--------2

and according to the given information

equation one is 27 more equation 2

10 y + x = 27+10x +y

10x-x +y-10y +27 =0

9x -9y =0

9 ( x -y +3) =0

x -y +3 =0

x -y = -3