Problema Solution
The sum of the length and width of a one-story house is 100 feet. The house has 2500 square feet of floor space. What are the length and width of the house?
Find two numbers whose sum is 100 and whose product is 2500.
One number is 1 more than another number. The sum of their squares is 113. Find the numbers.
Answer provided by our tutors
l+b=100...............(1)
lb=2500....................(2)
l=2500/b
2500/b +b =100
2500+b^2=100b
b^2-100b+2500=0
b^2-50b-50b+2500=0
(b-50)=0
b=50
l=40