Mindbender
A: "We got the cakes, Mum," said Susan, as her brothers followed her into the kitchen. "Nice ones at 8p and 13p – all for £2.40."
Linda looked. "Fine, but no more for you today," she declared. "I see you've eaten exactly half of them already."
She was right, so how many had they bought?
B: Tom looked across the street. "That?" he said. "It's just an ordinary 2-figure number. What's special about it then?"
"Something I noticed," Andy replied. "It's one less than twice the sum of the squares of its digits."
That did make it unique, so what was the number?