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Year 8 maths · J.11 · Systems of equations

Systems word problems: one number is a multiple of another

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

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  1. One number is 3 times another number. Their sum is 80. What are the numbers? Write the smaller first, like (3, 12).

    Answer: (20, 60)

  2. One number is 4 times another number. Their sum is 100. What are the numbers? Write the smaller first, like (3, 12).

    Answer: (20, 80)

  3. One number is 5 times another number. Their sum is 12. What are the numbers? Write the smaller first, like (3, 12).

    Answer: (2, 10)

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

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