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Explore the Back-StoryTry this Problem based on Playing With Numbers from 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?

Numbers

Arithmetic

Counting

Suggested Reading

Source of the Problem

Answer

Mathematical Circle

Math Kangaroo (Benjamin) 2016 | Problem 24

537

Hint 1

Hint 2

Hint 3

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.

Try this Problem based on Playing With Numbers from 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?

Numbers

Arithmetic

Counting

Suggested Reading

Source of the Problem

Answer

Mathematical Circle

Math Kangaroo (Benjamin) 2016 | Problem 24

537

Hint 1

Hint 2

Hint 3

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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