Algebra 1 Math
posted by Tony .
The sum of a smaller number and twice a larger number is 67. If the smaller number is increased by 5, the sum will equal the larger number. Find the numbers.
A rectangles width is four more than twice its length. Its perimeter is 62. Find the dimension of the rectangle?

Let x = smaller number, then x + 5 = larger.
x + (x+5) = 67
Let x = length, then width = 2x + 4.
2x + 2(2x+4) = 62
In both cases, solve for x.