In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3-digit number with its digits in consecutive and increasing order. What 3-digit number is FUN? [No leading digit can be 0.]

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10-03-2022
Mathematics

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In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3-digit number with its digits in consecutive and increasing order. What 3-digit number is FUN? [No leading digit can be 0.]

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AFOKE88 AFOKE88 · Answer 1 · 2022-03-15T19:52:18+01:00

The 3 digit number that is FUN is; 678

What is the combination of the numbers?

We are told that MATH is 3 times the word "FUN".

We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.

Now, product of 789 by 3 gives;2367.

Each letter should have a unique letter and so that is not the correct sequence.

Let us try the product of 678 by;

678 * 3 = 2034

This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.

Thus, the 3-digit number that is FUN is 678.

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