Algebra 1b - System of equations

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SUMMARY

The discussion revolves around solving a two-digit number problem where the sum of the digits equals 7, and reversing the digits increases the number by 27. The key equations derived from the problem are X + Y = 7, where X and Y represent the digits. Participants clarify the confusion regarding the reversal of digits and its impact on the numerical value, leading to a better understanding of the problem-solving approach.

PREREQUISITES
  • Understanding of basic algebraic equations
  • Familiarity with two-digit number representation
  • Knowledge of digit manipulation in numbers
  • Ability to solve linear equations
NEXT STEPS
  • Study methods for solving systems of equations
  • Practice problems involving digit reversal in two-digit numbers
  • Explore algebraic word problems and their translations into equations
  • Learn techniques for verifying solutions in algebra
USEFUL FOR

Students learning algebra, educators teaching problem-solving strategies, and anyone interested in enhancing their skills in solving numerical puzzles involving two-digit numbers.

lederhosen
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Homework Statement



The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number

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I Don't understand when they say the digits are reversed, i have done these problems many times before. but i don't understand the wording...

Homework Equations


X+Y=7
(help)

The Attempt at a Solution



I need more info to solve...
 
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lederhosen said:

Homework Statement



The sum of the digits of a two-digit number is 7. When the digits are reversed, the number is increased by 27. Find the number

------------
I Don't understand when they say the digits are reversed, i have done these problems many times before. but i don't understand the wording...


Homework Equations


X+Y=7
(help)

The Attempt at a Solution



I need more info to solve...

Yeah, that is confusing, but I think I see what they are asking.

Say the original number was 43, so the sum of 4+3 = 7.

Now reverse the two digits to make 34. Well, that decreased the value of the number by 9, so 43 is not the right answer. But you see how it goes now?
 
oh i see i was looking at it completely wrong I really appreciate it
 

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