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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?

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?

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Solution

To solve this problem, we need to find a two-digit number where the difference between the digits is 4 and the digit in the unit’s place is one-third of the digit in the tenth’s place.

Step 1: Let's denote the digit in the tenth’s place as X and the digit in the unit’s place as Y.

Step 2: According to the problem, we know that X - Y = 4 (the difference between the digits is 4) and Y = X/3 (the digit in the unit’s place is one-third of the digit in the tenth’s place).

Step 3: We can substitute Y in the first equation with X/3 from the second equation. This gives us X - X/3 = 4.

Step 4: Simplifying this equation gives us 2X/3 = 4.

Step 5: Solving for X gives us X = 6.

Step 6: Substituting X = 6 into the second equation Y = X/3 gives us Y = 6/3 = 2.

So, the two-digit number is 62.

This problem has been solved

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