Mathematics

Mathematics

Problem

The sum of two numbers is 72. One number is 3 times the other. Find the numbers.
Intuitive explanation

This is a system of equations problem where you have two unknowns but two pieces of information to constrain them. The key insight is to use the simpler relationship (one number is 3 times the other) to express everything in terms of a single variable, then substitute into the sum. Once you've reduced it to one equation with one unknown, the algebra becomes straightforward.

Intuitive explanation

This is a system of equations problem where you have two unknowns but two pieces of information to constrain them. The key insight is to use the simpler relationship (one number is 3 times the other) to express everything in terms of a single variable, then substitute into the sum. Once you've reduced it to one equation with one unknown, the algebra becomes straightforward.

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