the tens digit of a two digit is 7. if the order of the digit is reversed the new number obtained is 45 less than the original number. what is the number?​

9514 1404 393

  72

Step-by-step explanation:

The difference of 45 means the difference of digits in the number is 45/9 = 5. So, the ones digit is 7-5 = 2, and the number is 72.

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If you want an equation, you can use x for the ones digit.

  70 +x = 45 +(10x +7)

  18 = 9x . . . . . . . . . . . . . subtract 52+x from both sides

  2 = x

The ones digit is 2, so the number is 72.

Further explanation

If you start with the two digits xy in a number and reverse them, the difference between the numbers xy and yx is ...

  (10x +y) -(10y +x) = 9(x -y)

This tells you the difference between the digit-reversed numbers is 9 times the difference between the digits.

the answer is 72

Step-by-step explanation:

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