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A parent is 4 times as old as their child. Together they are 70. How old is each?

The child is 14 and the parent is 56.

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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 70:

    x+4x=70x + 4x = 70
  3. 3

    Combine the x terms and divide:

    5x=70 ⇒ x=705=145x = 70\ \Rightarrow\ x = \frac{70}{5} = 14
  4. 4

    The parent is 4 × 14 = 56.

  5. 5

    Check: 14 + 56 = 70 ✓ and 56 = 4 × 14 ✓.

LaTeX source of the formulas on this page
\[ x + 4x = 70\ \Rightarrow\ x = 14 \]
\[ x + 4x = 70 \]
\[ 5x = 70\ \Rightarrow\ x = \frac{70}{5} = 14 \]

Questions

How old is the child?

14.

How old is the parent?

56.

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    Parent is 4 times the child's age, total 70: 56 and 14 | WordGPT