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?Options62312693cannot be determined
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?Options62312693cannot be determined
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, so we can write this as: T - U = 4.
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The problem also states that U is one-third of T, so we can write this as: U = T/3.
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Now we can substitute U from the second equation into the first equation to get: T - T/3 = 4, which simplifies to 2T/3 = 4. Solving for T gives us T = 6.
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Substituting T = 6 into the second equation gives us U = 6/3 = 2.
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Therefore, the two-digit number is 62.
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