the sum of digits of a two-digit number is 16 if the digits are interc

1.	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» 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.

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»

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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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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