AMC / AIME · Systems of Equations · Hard

Systems of Equations: Two positive numbers have sum math and difference math. Find product.

Linear and nonlinear systems.

Try the problem

Two positive numbers have sum 1717 and difference 55. Find product.

Hint and answer

Concept to use

Nonlinear.

Hint

Eliminate variables, or use symmetric identities when they are given.

Answer

66

More Systems of Equations problems

Practice more with the free Systems of Equations worksheet generator, or browse the full problem library.