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
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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.
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