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A parent is 6 times as old as their child. Together they are 35. How old is each?

The child is 5 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 6 times as old, so the parent is 6x.

  2. 2

    Together they are 35:

    x+6x=35x + 6x = 35
  3. 3

    Combine the x terms and divide:

    7x=35 ⇒ x=357=57x = 35\ \Rightarrow\ x = \frac{35}{7} = 5
  4. 4

    The parent is 6 × 5 = 30.

  5. 5

    Check: 5 + 30 = 35 ✓ and 30 = 6 × 5 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 35\ \Rightarrow\ x = 5 \]
\[ x + 6x = 35 \]
\[ 7x = 35\ \Rightarrow\ x = \frac{35}{7} = 5 \]

Questions

How old is the child?

5.

How old is the parent?

30.

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    Parent is 6 times the child's age, total 35: 30 and 5 | WordGPT