I need step by step explanation for this!!

Hello! :)

Let the smallest digit, or the units' digit, be equal to x:

Tens' digit is four more, therefore:

x + 4 represents the tens' digit.

Hundreds' digit is 2 more than the tens' digit, so:

2 + (x + 4), or x + 6 represents the hundred's digit.

These all sum up to 13, so write an expression to represent this:

x + (x + 4) + (x + 6) = 13

Combine like terms:

3x + 10 = 13

Subtract 10 from both sides:

3x = 3

Divide both sides by 3:

x = 1

Find the digits using the rules listed above:

Hundreds' digit: (1) + 6 = 7

Tenths' digit:  (1) + 4 = 5

Units' digit: 1 = 1

Therefore, the number is:

751.

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step-by-step explanation: