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A parent is 4 times as old as their child. Together they are 45. How old is each?

The child is 9 and the parent is 36.

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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 45:

    x+4x=45x + 4x = 45
  3. 3

    Combine the x terms and divide:

    5x=45 ⇒ x=455=95x = 45\ \Rightarrow\ x = \frac{45}{5} = 9
  4. 4

    The parent is 4 × 9 = 36.

  5. 5

    Check: 9 + 36 = 45 ✓ and 36 = 4 × 9 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 45\ \Rightarrow\ x = 9 \]
\[ x + 4x = 45 \]
\[ 5x = 45\ \Rightarrow\ x = \frac{45}{5} = 9 \]

Questions

How old is the child?

9.

How old is the parent?

36.

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    Parent is 4 times the child's age, total 45: 36 and 9 | WordGPT