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A parent is 3 times as old as their child. Together they are 40. How old is each?

The child is 10 and the parent is 30.

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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 40:

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

    Combine the x terms and divide:

    4x=40 ⇒ x=404=104x = 40\ \Rightarrow\ x = \frac{40}{4} = 10
  4. 4

    The parent is 3 × 10 = 30.

  5. 5

    Check: 10 + 30 = 40 ✓ and 30 = 3 × 10 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 40\ \Rightarrow\ x = 10 \]
\[ x + 3x = 40 \]
\[ 4x = 40\ \Rightarrow\ x = \frac{40}{4} = 10 \]

Questions

How old is the child?

10.

How old is the parent?

30.

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    Parent is 3 times the child's age, total 40: 30 and 10 | WordGPT