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Select the correct answerThe difference between the digits of a two-digit number is 4 and the digit in the unit’s place is one-third of the digit in the tenth’s place. what is the two -digit number?Options2693cannot be determined6231

Question

Select the correct answerThe difference between the digits of a two-digit number is 4 and the digit in the unit’s place is one-third of the digit in the tenth’s place. what is the two -digit number?Options2693cannot be determined6231

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Solution

The problem states that the difference between the digits of a two-digit number is 4 and the digit in the unit’s place is one-third of the digit in the tenth’s place.

Let's denote the digit in the tenth's place as x and the digit in the unit's place as y.

From the problem, we have two equations:

  1. x - y = 4 (since the difference between the digits is 4)
  2. y = x/3 (since the digit in the unit’s place is one-third of the digit in the tenth’s place)

We can solve these equations simultaneously.

Substitute equation 2) into equation 1), we get:

x - x/3 = 4 2x/3 = 4 x = 6

Substitute x = 6 into equation 2), we get:

y = 6/3 y = 2

So, the two-digit number is 62.

Therefore, the correct answer is 62.

This problem has been solved

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