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A parent is 5 times as old as their child. Together they are 60. How old is each?

The child is 10 and the parent is 50.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 5 times as old, so the parent is 5x.

  2. 2

    Together they are 60:

    x+5x=60x + 5x = 60
  3. 3

    Combine the x terms and divide:

    6x=60 ⇒ x=606=106x = 60\ \Rightarrow\ x = \frac{60}{6} = 10
  4. 4

    The parent is 5 × 10 = 50.

  5. 5

    Check: 10 + 50 = 60 ✓ and 50 = 5 × 10 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 60\ \Rightarrow\ x = 10 \]
\[ x + 5x = 60 \]
\[ 6x = 60\ \Rightarrow\ x = \frac{60}{6} = 10 \]

Questions

How old is the child?

10.

How old is the parent?

50.

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    Parent is 5 times the child's age, total 60: 50 and 10 | WordGPT