Problema Solution

One number is 2 more than 2 times another. Their product is 40. Find the numbers.

Answer provided by our tutors

let 'x' and 'y' represent the numbers


One number is 2 more than 2 times another:


x = 2 + 2y


Their product is 40:


xy = 40


plug x = 2 + 2y into the last equations:


(2 + 2y)y = 40


by solving we find:


y1 = 4


y2 = -5


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for y = 4 we have x = 2 + 2*4 = 10


for y = -5 we have x = 2 + 2*(-5) = -8


there are two pairs of solutions: 10 and 4; and -8 and -5.