How Cheenta works to ensure student success?

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

Mathematical Circle

Math Kangaroo (Benjamin) 2016 | Problem 24

537

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.

- Math Kangaroo Benjamin 2014 Problem 11 | Arithmetic
- Math Kangaroo (Benjamin) 2020 Problem 26 | Divisibility Rule

Cheenta is a knowledge partner of Aditya Birla Education Academy

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.

JOIN TRIALAcademic Programs

Free Resources

Why Cheenta?

Online Live Classroom Programs

Online Self Paced Programs [*New]

Past Papers

More