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A parent is 4 times as old as their child. Together they are 40. How old is each?

The child is 8 and the parent is 32.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 4 times as old, so the parent is 4x.

  2. 2

    Together they are 40:

    x+4x=40x + 4x = 40
  3. 3

    Combine the x terms and divide:

    5x=40 ⇒ x=405=85x = 40\ \Rightarrow\ x = \frac{40}{5} = 8
  4. 4

    The parent is 4 × 8 = 32.

  5. 5

    Check: 8 + 32 = 40 ✓ and 32 = 4 × 8 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 40\ \Rightarrow\ x = 8 \]
\[ x + 4x = 40 \]
\[ 5x = 40\ \Rightarrow\ x = \frac{40}{5} = 8 \]

Questions

How old is the child?

8.

How old is the parent?

32.

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    Parent is 4 times the child's age, total 40: 32 and 8 | WordGPT