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In a two-digit number, the tens place digit is 7 and the sum of the digits is 8 times the unit place digit. The number is then

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answer is B.

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Detailed Solution

Concept: In order to find the value of the digit in the unit's place, we must first assume that it is the digit

. Then, use the following formula to determine the number:

Since the tens place digit is 7 and the unit place digit is

, the total of the tens place and unit place digits is

.
The fact that the total of the digits is eight times the digit in the unit position is a given.
As a result, in order to determine the value of

, we will construct a linear equation in one variable.
Hence,

https://lh6.googleusercontent.com/xEHlUdpOLcFUHkUARaKmPUdMZDvKszodkp0Kw3KeP9FkWBU4M6tcnrAULSc_U7VocjI_luNaverCHgaVP0JTWggjHoz_Yg1RVJ7sbrV3PB0RP-R9iKaLi_w309FERGKFFpb4YLO0JcTANPaj2KMq9w

Putting the appropriate values in the following formula, we can now say that we know the value of the digit in the unit's place:

We get,

Thus, the resulting number is 71
Hence, the correct option is 2) 71

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