Problem #PRU-98167

Problems Algebra and arithmetic Arithmetics. Mental maths

Problem

Sage thought of the sum of some three natural numbers, and the Patricia thought about their product.

“If I knew,” said Sage, “that your number is greater than mine, then I would immediately name the three numbers that are needed.”

“My number is smaller than yours,” Patricia answered, “and the numbers you want are ..., ... and ....”

What numbers did Patricia name?