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Question from Tina, a parent:

The sum of the digits of a 3-digit odd number is 13. The digit in the tens place is 4 less than the digit in the hundreds place and 3 more than the ones digit. What is the number?

Hi Tina,

 

I am going to write the possible candidates for your 3 digit number starting with the digit in the hundredth place.

9
8
7
6
5
4
3
2
1

Now add the digit in the tens place. It is 4 less than the digit in the hundredth place so the possibilities are

9 5
8 4
7 3
6 2
5 1
4 0

A hundredths digit of 3, 2 or 1 is not possible since 4 less than any of these digits is not a digit.

The digit in the tens place is 3 more than the digit in the ones place so what are the possibilities for the three digit number? Which one has 13 as the sum of its digits?

Penny

 

 

 

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