If the digits of a three-digit number are reversed in order, then the sum of the new resulting number and the original number comes out to be 665. The difference of the two numbers is 297. The tens’ digit place is two times the hundreds’ place digit. What is the number?
I know two equations are x+y=665 and x-y=297
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
Not the answer you are looking for? Search for more explanations.
You have two equations with two unknowns, which is sufficient to solve this problem:
You can add these two equations
From which you can get x. Use this to solve for y
When you get your answer, the relationship between x and y and between the tens and hundreds place will be confirmed, but you don't need it to solve this problem because you have your two equations and two unknowns.
Conversely, if you did not have these two equations and only that relationship between the digits, you'd be able to come to the same conclusion. So in essence, the additional information regarding the digits is redundant.
Just remember, if you have two unknowns then you need two equations or two facts that relate the unknowns to each other.