how do you know thats the correct number and how did you get that number
asked Nov 30, 2016 in Word Problem Answers by Sarah

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:

To avoid this verification in future, please log in or register.

1 Answer

The 3-digit number can be represented by 100A+10B+C.

More tens than ones: B>C.

Fewer hundreds than tens: A<B so B>A.

We only know that the tens digit is bigger than the ones and the hundreds.

The smallest B can be is 2, A<2, C<2, so because it's 3 digits A can't be zero, so C=0 and A=1 or C=A=1.

The smallest number is 120. The next possibility is 121.

If B=3, A<3, C<3 so A can be 1 or 2 and C can be 0, 1 or 2:

130, 131, 132, 230, 231, 232.

If B=4, C and A < 4, so A can be 1, 2 or 3 and C can be 0, 1, 2, 3:

140, 141, 142, 143, 240, 241, 242, 243, 340, 341, 342, 343.

...

If B=9, A can be 1, 2, 3, 4, 5, 6, 7, 8 and C can be 0, 1, 2, 3, 4, 5, 6, 7, 8:

190, 191, 192, 193, 194, 195, 196, 197, 198, ..., 890, 891, ..., 898.

So there are many solutions (2+6+12+20+30+42+56+72=240 solutions).

answered Dec 1, 2016 by Rod Top Rated User (442,380 points)
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
78,526 questions
82,363 answers
1,903 comments
63,405 users