You have to put on quite a lot of muscle to raise your resting metabolic rate, and this probably isn't practical for most people.
Resistance training (weight lifting etc) can be a great way to do interval exercise and get a real sweat going. Kettle bells for instance are particularly in vogue, although there are plenty of other methods.
Resistance training is great for many other reasons, and we should all be doing some. Increased strength and coordination is a solid investment in your future health.
Lower intensity exercise (eg jogging) does unfortunately increase hunger, and it is far, far easier to 1000 calories than to "burn them off".
Some people are simply predisposed to put on fat and retain it. Aesthetically this may not be what they wish for, and that can lead to desperate dieting and more exotic attempts at fat loss.
It is entirely possible to be "fat but fit" so health measures other than estimating subcutaneous adipose tissue are necessary to understand your health.
It is also possible to be "thin outside fat inside" ie to look thin but have terrible cardiovascular health.
The summary is that most of us should probably eat more green veggies and more fibre but less overall, and do more exercise. Any specific formula for this is a distraction from the general message, but if it works for, good.
On mobile, apologies for lack of references.