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Math Kangaroo (Benjamin) 2016 Problem 24 | Play With Numbers

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Playing With Numbers | Math Kangaroo (Benjamin) 2016 | Problem 24


Two three-digit numbers are made up of six different digits. The first digit of the second number is twice as big as the last digit of the first number. (Note: 0 is also a digit but cannot be the first digit of a number!) How big is the smallest possible sum of the two numbers?

Key Concepts


Numbers

Arithmetic

Counting

Suggested Book | Source | Answer


Mathematical Circle

Math Kangaroo (Benjamin) 2016 | Problem 24

537

Try with Hints


Let us assume these three digit numbers are $ABC$, $DEF$.

According to the question $D=2C$.

Let's follow the given condition and try to construct the smallest numbers.

So here $ABC=102$.

And if I follow the given condition then $DEF= 435$.

We did this keeping in mind that repetitions are not allowed.

Now calculate the answer.

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