Kaden has more than 20 sweets and fewer than 69 sweets. If he packs them into bags of 5 sweets, he will have no sweets left. If he packs them into bags of 8, he will have 7 sweets left. How many sweets does he have?

clearly the number must be odd, so it will be an odd multiple of 5.

The choices are 25,35,45,55,65
Which of these is 1 less than a multiple of 8?