Age Conundrum

“Can you tell me about the ages of the new caretakers, the Jones family?” asked the math student Lanoo of his teacher Orion.

“Yes, I will be happy to. Perhaps you won’t be so pleased,” smiled Orion, “when smoke starts coming out of your ears.”

“The difference between the ages of John and Mary is twice that of Cuthbert.

One of the former is ten times as old as Cuthbert. Reading backwards, the age of John is the same as that of Mary.

What are their ages?”

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