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A parent is 5 times as old as their child. Together they are 42. How old is each?

The child is 7 and the parent is 35.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 5 times as old, so the parent is 5x.

  2. 2

    Together they are 42:

    x+5x=42x + 5x = 42
  3. 3

    Combine the x terms and divide:

    6x=42 ⇒ x=426=76x = 42\ \Rightarrow\ x = \frac{42}{6} = 7
  4. 4

    The parent is 5 × 7 = 35.

  5. 5

    Check: 7 + 35 = 42 ✓ and 35 = 5 × 7 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 42\ \Rightarrow\ x = 7 \]
\[ x + 5x = 42 \]
\[ 6x = 42\ \Rightarrow\ x = \frac{42}{6} = 7 \]

Questions

How old is the child?

7.

How old is the parent?

35.

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    Parent is 5 times the child's age, total 42: 35 and 7 | WordGPT