### Algebra-1 Problems

Problem # |
Problem Statement |
Problems Similar To |
---|---|---|

1. |
The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 less than the original number. Find the digits in the original number. |
\begin{equation}x+y=11\textrm{ },\textrm{ }10y+x=10x+y-27\end{equation} |

2. |
A collection of nickels and dimes is worth $2. There are 5 more dimes than nickels. How many dimes and how many nickels are there? |
\begin{equation}\frac{x}{20}+\frac{y}{10}=2\textrm{ },\textrm{ }y=x+5\end{equation} |

3. |
A fork and knife weigh 2 grams and 3 grams, respectively. If the set contains 19 knives and forks and weighs 47 grams, how many knives and forks are there? |
\begin{equation}x+y=19\textrm{ },\textrm{ }2x+3y=47\end{equation} |