SOLUTION: A number is less than 400. The tens digit is 2 more than the ones digit. The hundreds digit is 1 more than the tens digit. What is the number? BG74 through BH81 selected.

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Question 1174861: A number is less than 400. The tens digit is 2 more than the ones digit. The hundreds digit is 1 more than the tens digit. What is the number?
BG74 through BH81 selected.

Found 3 solutions by josgarithmetic, MathTherapy, greenestamps:
Answer by josgarithmetic(39620)   (Show Source):
You can put this solution on YOUR website!
What sort of number? Three digit positive number?

and

--

substituting,

-----------there are very few possibilities to consider. You can see that h must be less than 4.

Answer by MathTherapy(10553)   (Show Source):
You can put this solution on YOUR website!

A number is less than 400. The tens digit is 2 more than the ones digit. The hundreds digit is 1 more than the tens digit. What is the number?
BG74 through BH81 selected.

Number you're looking for:
There's ONLY 1 and that's IT!! Ignore the other person's answer!

Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

The statement of the problem suggests that there is only one number that satisfies the condition of the problem.

From the wording of the problem, we know the units digit is the smallest. So start with the smallest possible units digit, which is 0.

That makes the tens digit 0+2=2; and that makes the hundreds digit 2+1=3. That gives us the number 320.

And we can see that, if we had started with any digit greater than 0 for the units digit, we would have ended up with a number greater than 400.

So 320 is the only number that satisfies all the conditions.