Question 263752: One number is 4 times another. Their product is 4 times their sum. Find the numbers. Found 2 solutions by mananth, jsmallt9:Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website! One number is 4 times another. Their product is 4 times their sum. Find the numbers.
let no be x
the other number will be 4x
4x*x= (4x+x)*4
4x^2= 20x
4x=20
x=5
& 20
You can put this solution on YOUR website! There is an error in a solution provided by another tutor. It is correct up to:
This is a quadratic equation. We should get one side equal to zero (by subtracting 20x from each side:
Factor:
And use the Zero Product Property which tells us that this product is zero if one of the factors is zero: or
Solving these we get: or
For x = 0, the other number is 4x = 4(0) = 0.
For x = 5, the other number is 4x = 4(5) = 20.
So the two numbers are (0 and 0) or (5 and 20).
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