Question

CAN ANYONE PLS ANSWER THIS


the sum of the digits of a two digit number is 10 . when we interchange the digits , it has found that the resulting new number is greater than original number by 18. find the original number

Answer 1

Answer:

the original number is 13

Answer 2

Step-by-step explanation:

$let \: the \: two \: digit \: number \: be \: 10x + y \\ x + y = 10 - - - - - eq1 \\ 10y + x = 10x + y + 18 \\ 9x - 9y = - 18 \\ \div by9 \\ x - y = - 2 - - - - - eq2 \\ x + y = 10 \\ x - y = - 2 \\ 2x = 8 \\ x = 4 \\ x + y = 10 \\ 4 + y = 10 \\ y = 6 \\ 10x + y = 10(4) + 6 = 46$