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A three digit number consists of 7, 8 and one more number. When these digits are reversed and subtracted
from the original number the answer yielded will be consisting of the same digits arranged yet in a different
order. Solve the word problem and find the another digit?
Let the unknown digit = n.
The given number is then,
700 + 80 + n = 780 + n.
When reversed the new number is,
100n + 80 + 7 = 87 + 100n.
Subtracting these two numbers we get,
After solving, we get
693 = 99n.
The digit can be arranged in 3 ways or 6 ways.
We have already investigated 2 of these ways.
We can now try one of the remaining 4 ways. One of these are n = 95
100n + 70 + 8 = 693 - 99n
199n = 615
After solving, we get
n = 3
The unknown digit is 3.College Algebra Word Problem Solver
College Free Algebra solver
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Algebra tutors serve as free Algebra Solver who would help students in interpreting the word problems. Let
us go over a few important Math equivalents of English for numbers and algebra word problems so as to
make the interpretation of word problems easier.
* Add---- sum, total of, added to, together, increased by
* Subtract-difference between, minus, less than, fewer than
* Multiplication-of times, by a factor
* Division-per, out of, ratio of, percent
The above words are suggestive of the operations associated with them. Students can learn more in depth
about them on understanding algebra word problems and tke the help of online Free Algebra Solver.