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A parent is 5 times as old as their child. Together they are 96. How old is each?

The child is 16 and the parent is 80.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 5 times as old, so the parent is 5x.

  2. 2

    Together they are 96:

    x+5x=96x + 5x = 96
  3. 3

    Combine the x terms and divide:

    6x=96 ⇒ x=966=166x = 96\ \Rightarrow\ x = \frac{96}{6} = 16
  4. 4

    The parent is 5 × 16 = 80.

  5. 5

    Check: 16 + 80 = 96 ✓ and 80 = 5 × 16 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 96\ \Rightarrow\ x = 16 \]
\[ x + 5x = 96 \]
\[ 6x = 96\ \Rightarrow\ x = \frac{96}{6} = 16 \]

Questions

How old is the child?

16.

How old is the parent?

80.

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      Parent is 5 times the child's age, total 96: 80 and 16 | WordGPT