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A parent is 3 times as old as their child. Together they are 88. How old is each?

The child is 22 and the parent is 66.

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How to work it out

  1. 1

    Let x be the child's age. The parent is 3 times as old, so the parent is 3x.

  2. 2

    Together they are 88:

    x+3x=88x + 3x = 88
  3. 3

    Combine the x terms and divide:

    4x=88 ⇒ x=884=224x = 88\ \Rightarrow\ x = \frac{88}{4} = 22
  4. 4

    The parent is 3 × 22 = 66.

  5. 5

    Check: 22 + 66 = 88 ✓ and 66 = 3 × 22 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 88\ \Rightarrow\ x = 22 \]
\[ x + 3x = 88 \]
\[ 4x = 88\ \Rightarrow\ x = \frac{88}{4} = 22 \]

Questions

How old is the child?

22.

How old is the parent?

66.

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    Parent is 3 times the child's age, total 88: 66 and 22 | WordGPT