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A parent is 3 times as old as their child. Together they are 32. How old is each?

The child is 8 and the parent is 24.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 3 times as old, so the parent is 3x.

  2. 2

    Together they are 32:

    x+3x=32x + 3x = 32
  3. 3

    Combine the x terms and divide:

    4x=32 ⇒ x=324=84x = 32\ \Rightarrow\ x = \frac{32}{4} = 8
  4. 4

    The parent is 3 × 8 = 24.

  5. 5

    Check: 8 + 24 = 32 ✓ and 24 = 3 × 8 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 32\ \Rightarrow\ x = 8 \]
\[ x + 3x = 32 \]
\[ 4x = 32\ \Rightarrow\ x = \frac{32}{4} = 8 \]

Questions

How old is the child?

8.

How old is the parent?

24.

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    Parent is 3 times the child's age, total 32: 24 and 8 | WordGPT