Question

For all real numbers, |x| is defined as the absolute value of x; for example |4.2| =
4.2 and |-7| = 7.
Given that x and y are integer, how many different solutions does the equation |x| +
2|y| = 100 have?

This is again just a puzzle. Only solve it if it makes you happier.

Answer 1

i guess there should be 201 solutions....

Answer 2

nearly :-) get 1 off

Answer 3

2*99+2

Answer 4

for y values between -49 and 49 there are 2 x values so that is 2*99

Answer 5

for +-50 there is only 1

Answer 6

i guess it is (4*51)-3 = 201

Answer 7

why 4*51 -3?

Answer 8

wait. i think i got a bit confused with the problem. i guess its 200

Answer 9

I agree 200