Question

9. The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.

10. The sum of two numbers is 76. The larger number is 14 more than the smaller number. What are the two numbers?

Answer 1

9. 9&16

10. 31&45

Explanation:

9. L-W=7

2L+2W=50 (system of equations)

L=W+7

2L=-2W+50

L=-W+25

-W+25=W+7

-2W=-18

W=9

L=16

10. x=larger number y=smaller number

x+y=76

x=y+14

x=-y+76

y+14=-y+76

2y=62

y=31

x=45