# Algebra 1- Math

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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?

• Algebra 1- Math -

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.

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