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A parent is 6 times as old as their child. Together they are 63. How old is each?

The child is 9 and the parent is 54.

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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 63:

    x+6x=63x + 6x = 63
  3. 3

    Combine the x terms and divide:

    7x=63 ⇒ x=637=97x = 63\ \Rightarrow\ x = \frac{63}{7} = 9
  4. 4

    The parent is 6 × 9 = 54.

  5. 5

    Check: 9 + 54 = 63 ✓ and 54 = 6 × 9 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 63\ \Rightarrow\ x = 9 \]
\[ x + 6x = 63 \]
\[ 7x = 63\ \Rightarrow\ x = \frac{63}{7} = 9 \]

Questions

How old is the child?

9.

How old is the parent?

54.

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    Parent is 6 times the child's age, total 63: 54 and 9 | WordGPT