SOLUTION: i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?

SOLUTION: i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?

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Question 695366: i am a 3digit number that is less than 500. My ones digit is twice the hundreds digit. The sum of the three digits is 14. What number am I?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let the hundreds digit be represented by

, the tens digit be represented by

, and the ones digit be represented by

.

What we know to start:

But since

, we can write:

The largest

can be is 4 so let's try that:

So if

, then

and

so the number is 428.

But

could equal 3.

So if

, then

and

so the number is 356.

But

could equal 2.

So if

, then

and

so the number is 284.

But

could equal 1.

So if

, then

-- Oops! That doesn't work because

must be less than 10.

, doesn't work either because then you would only have a two digit number.

So the three possible answers are 428, 356, and 284. All are less than 500, all have a units digit twice the hundreds digit, and all have 14 as a sum of digits.

John

Egw to Beta kai to Sigma
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