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A parent is 4 times as old as their child. Together they are 35. How old is each?

The child is 7 and the parent is 28.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 4 times as old, so the parent is 4x.

  2. 2

    Together they are 35:

    x+4x=35x + 4x = 35
  3. 3

    Combine the x terms and divide:

    5x=35 ⇒ x=355=75x = 35\ \Rightarrow\ x = \frac{35}{5} = 7
  4. 4

    The parent is 4 × 7 = 28.

  5. 5

    Check: 7 + 28 = 35 ✓ and 28 = 4 × 7 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 35\ \Rightarrow\ x = 7 \]
\[ x + 4x = 35 \]
\[ 5x = 35\ \Rightarrow\ x = \frac{35}{5} = 7 \]

Questions

How old is the child?

7.

How old is the parent?

28.

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    Parent is 4 times the child's age, total 35: 28 and 7 | WordGPT