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
click here to see the step by step solution of the equation:
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.