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A parent is 6 times as old as their child. Together they are 49. How old is each?

The child is 7 and the parent is 42.

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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 49:

    x+6x=49x + 6x = 49
  3. 3

    Combine the x terms and divide:

    7x=49 ⇒ x=497=77x = 49\ \Rightarrow\ x = \frac{49}{7} = 7
  4. 4

    The parent is 6 × 7 = 42.

  5. 5

    Check: 7 + 42 = 49 ✓ and 42 = 6 × 7 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 49\ \Rightarrow\ x = 7 \]
\[ x + 6x = 49 \]
\[ 7x = 49\ \Rightarrow\ x = \frac{49}{7} = 7 \]

Questions

How old is the child?

7.

How old is the parent?

42.

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    Parent is 6 times the child's age, total 49: 42 and 7 | WordGPT