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Year 9 maths · J.9 · Systems of equations

Systems word problems: sum and difference

Write two equations for the two unknown numbers, then solve the system.

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  1. Two numbers have a sum of 10 and a difference of 4. What are the numbers? Write the larger first, like (9, 4).

    Answer: (7, 3)

  2. Two numbers have a sum of 18 and a difference of 6. What are the numbers? Write the larger first, like (9, 4).

    Answer: (12, 6)

  3. Two numbers have a sum of 29 and a difference of 11. What are the numbers? Write the larger first, like (9, 4).

    Answer: (20, 9)

Tip: Write two equations for the two unknown numbers, then solve the system.

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