Is there any pair of numbers whose product is the same as its sum?
Thank you for the help :)
2 answers
3 and 1.5
xy = x+y
xy - y = x
y(x-1) = x
y = x/(x-1)
x -- y
5 .. 5/4
4 .. 4/3
3 .. 3/2
2 .. 2
There is an infinite pair of such numbers , but the only two integers where this happens is for the numbers 2 and 2
2+2 = 4
2x2 = 4
notice this is also true for any of the above non-integer pairs.
5 + 5/4 = 6.25
5(5/4) = 25/4 = 6.25
etc
xy - y = x
y(x-1) = x
y = x/(x-1)
x -- y
5 .. 5/4
4 .. 4/3
3 .. 3/2
2 .. 2
There is an infinite pair of such numbers , but the only two integers where this happens is for the numbers 2 and 2
2+2 = 4
2x2 = 4
notice this is also true for any of the above non-integer pairs.
5 + 5/4 = 6.25
5(5/4) = 25/4 = 6.25
etc