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A parent is 6 times as old as their child. Together they are 98. How old is each?

The child is 14 and the parent is 84.

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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 98:

    x+6x=98x + 6x = 98
  3. 3

    Combine the x terms and divide:

    7x=98 ⇒ x=987=147x = 98\ \Rightarrow\ x = \frac{98}{7} = 14
  4. 4

    The parent is 6 × 14 = 84.

  5. 5

    Check: 14 + 84 = 98 ✓ and 84 = 6 × 14 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 98\ \Rightarrow\ x = 14 \]
\[ x + 6x = 98 \]
\[ 7x = 98\ \Rightarrow\ x = \frac{98}{7} = 14 \]

Questions

How old is the child?

14.

How old is the parent?

84.

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      Parent is 6 times the child's age, total 98: 84 and 14 | WordGPT