Find two positive numbers whose difference is 2828 and whose product is 39003900.

1 answer:

7 0

If the question is:
"<span>Find two positive numbers whose difference is 28 and whose product is 3900</span>"

If the larger number is x, then
x-3900/x=28
multiply by x and transpose
x^2-28x-3900=0
Factor
(x+78)(x-50)=0
Using the zero product property,
x=-78 or x=50, ie. x=50, y=-78

NOTE: if question requires both numbers be positive, there is no solution.

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Step-by-step explanation:

Given : In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles.

To find : How far apart are the police station and the fire station?

Solution :

Let the distance between police station and fire station be 'x'.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

i.e. $2x-3$