Interactive practice questions
The sum of two numbers is $56$56 and their difference is $30$30.
a
Set up two equations by letting $x$x and $y$y be the two numbers.
Use $x$x as the larger of the 2 numbers.
| Sum equation: | $\editable{}$ |
| Difference equation: | $\editable{}$ |
b
First solve for $x$x.
| Equation 1 | $x+y=56$x+y=56 |
| Equation 2 | $x-y=30$x−y=30 |
c
Now solve for $y$y.
Easy
2min
We want to find the value of two numbers, $x$x and $y$y. We know that:
- The sum of the first number and the second number is $14$14.
- The difference between four times the first number and six times the second number is $6$6.
Easy
3min
The length of a rectangle measures $12$12 units more than the width, and the perimeter of the rectangle is $56$56 units.
Let $y$y be the width and $x$x be the length of the rectangle.
Easy
6min
There are $36$36 members in a group, and the men outnumber the women by $16$16.
Easy
4min
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