The sum of the 2 numbers is 45 and there product is 500
Answers
Answered by
0
Answer:
Numbers are 25 and 20
Step-by-step explanation:
x+y=45
hence x=45-y
Also given
xy= 500
y= 25 or 20
Answered by
1
Let the two numbers be x and y
So,
x + y = 45
=> y = 45 - x ........(1)
Also,
xy = 500
=> x(45 - x) = 500
=> 45x - x^2 = 500
=> x^2 - 45x + 500 = 0
=> x^2 - 20x - 25x + 500 = 0
> x(x-20)-25(x-20) = 0
=> (x-20)(x-25) = 0
For, (x-20)(x-25) to be zero,
Either, x - 20 = 0 => x = 20
Or, x - 25 = 0 => x = 25
So, here we get two values of x
x = 20 or 25
when x = 20;
y = 45 - 20 = 25
When x = 25;
y = 45 - 25 = 20
So, the two possible sets of numbers are:
Either, x = 25 and
y = 20
Or, x = 20 and
y = 25
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