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. what is the two -digit number?
Question
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. what is the two -digit number?
Solution
Let's solve this step by step:
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Let's denote the digit in the unit's place as U and the digit in the tenth's place as T.
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According to the problem, the difference between T and U is 4. We can write this as: T - U = 4.
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The problem also states that U is one-third of T. We can write this as: U = T/3.
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Now we have a system of two equations, and we can solve it.
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Substitute U from the second equation into the first one: T - T/3 = 4.
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Simplify the equation: 2T/3 = 4.
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Solve for T: T = 6.
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Substitute T = 6 into the second equation to find U: U = 6/3 = 2.
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Therefore, the two-digit number is 62.
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