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A parent is 6 times as old as their child. Together they are 91. How old is each?

The child is 13 and the parent is 78.

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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 91:

    x+6x=91x + 6x = 91
  3. 3

    Combine the x terms and divide:

    7x=91 ⇒ x=917=137x = 91\ \Rightarrow\ x = \frac{91}{7} = 13
  4. 4

    The parent is 6 × 13 = 78.

  5. 5

    Check: 13 + 78 = 91 ✓ and 78 = 6 × 13 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 91\ \Rightarrow\ x = 13 \]
\[ x + 6x = 91 \]
\[ 7x = 91\ \Rightarrow\ x = \frac{91}{7} = 13 \]

Questions

How old is the child?

13.

How old is the parent?

78.

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    Parent is 6 times the child's age, total 91: 78 and 13 | WordGPT