Math Problems: 2x + 3y = 100

How many ordered pairs (x, y) will satisfy the equation 2x + 3y = 100?

Answer: 17

The sum being 100 implies that x is less than or equal to 50 and y is less than 34 which accounts for the values in the loops below.

Solve using the following script:

for(var x=0; x<=50; x++){
 for(var y=0; y<34; y++){
  if(2*x+3*y==100){
   console.log("x: "+x+" y: "+y);
  }
 }
}