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A parent is 2 times as old as their child. Together they are 96. How old is each?

The child is 32 and the parent is 64.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 2 times as old, so the parent is 2x.

  2. 2

    Together they are 96:

    x+2x=96x + 2x = 96
  3. 3

    Combine the x terms and divide:

    3x=96 ⇒ x=963=323x = 96\ \Rightarrow\ x = \frac{96}{3} = 32
  4. 4

    The parent is 2 × 32 = 64.

  5. 5

    Check: 32 + 64 = 96 ✓ and 64 = 2 × 32 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 96\ \Rightarrow\ x = 32 \]
\[ x + 2x = 96 \]
\[ 3x = 96\ \Rightarrow\ x = \frac{96}{3} = 32 \]

Questions

How old is the child?

32.

How old is the parent?

64.

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    Parent is 2 times the child's age, total 96: 64 and 32 | WordGPT