Algebra 1b - System of equations

In summary, the problem asks for a two-digit number where the sum of its digits is 7 and when the digits are reversed, the number is increased by 27. The solution involves understanding how reversing the digits affects the value of the number.
  • #1
lederhosen
9
0

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...
 
Physics news on Phys.org
  • #2
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?
 
  • #3
oh i see i was looking at it completely wrong I really appreciate it
 

FAQ: Algebra 1b - System of equations

What is a system of equations?

A system of equations is a set of two or more equations that contain the same variables. The solution to the system is the set of values for the variables that make all of the equations true at the same time.

How do you solve a system of equations?

There are a few methods for solving a system of equations, including substitution, elimination, and graphing. Each method involves manipulating the equations to eliminate a variable and then solving for the remaining variables.

Can a system of equations have more than one solution?

Yes, a system of equations can have one, zero, or infinitely many solutions. This depends on the relationship between the equations and how many unique values can satisfy all of the equations at the same time.

What is the difference between a consistent and inconsistent system of equations?

A consistent system of equations has at least one solution, meaning the equations intersect at one point. An inconsistent system of equations has no solutions, meaning the equations do not intersect at any point.

How is a system of equations used in the real world?

Systems of equations are commonly used in various fields of science, such as physics, engineering, and economics, to model and solve real-world problems. They can be used to determine unknown quantities or relationships between variables.

Similar threads

Back
Top