### Algebra-1 Problems

Problem # |
Problem Statement |
Problems Similar To |
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1. |
The sum of the digits of a two-digit number is 10. If the digits are reversed, the new number is 36 less than the original number. Find the digits in the original number. |
\begin{equation}x+y=10\textrm{ },\textrm{ }10y+x=10x+y-36\end{equation} |

2. |
A collection of nickels and dimes is worth $23/10. There are 8 more dimes than nickels. How many dimes and how many nickels are there? |
\begin{equation}\frac{x}{20}+\frac{y}{10}=\frac{23}{10}\textrm{ },\textrm{ }y=x+8\end{equation} |

3. |
A fork and knife weigh 2 grams and 7 grams, respectively. If the set contains 8 knives and forks and weighs 26 grams, how many knives and forks are there? |
\begin{equation}x+y=8\textrm{ },\textrm{ }2x+7y=26\end{equation} |