Question

the sum of digits of a two-digit number is 16 if the digits are interchanged the new number formed is smaller than the original number by 18 find the original numbers

Answer 1

Answer:

The original number is 79.

Step-by-step explanation:

In the original number,

let the tens place digit be x. Thus, the ones place will be (16-x).

A/Q,

10x + (16-x) + 18 = 10(16 - x) + x

=> 10x + 16 - x + 18 = 160 - 10x + x

=> 9x + 34 = 160 - 9x

=> 9x + 9x = 160 - 34

=> 18x = 126

=> x = 126/18 = 7

Therefore, the original number is 79 and the new number is 97.