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A parent is 3 times as old as their child. Together they are 76. How old is each?

The child is 19 and the parent is 57.

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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 76:

    x+3x=76x + 3x = 76
  3. 3

    Combine the x terms and divide:

    4x=76 ⇒ x=764=194x = 76\ \Rightarrow\ x = \frac{76}{4} = 19
  4. 4

    The parent is 3 × 19 = 57.

  5. 5

    Check: 19 + 57 = 76 ✓ and 57 = 3 × 19 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 76\ \Rightarrow\ x = 19 \]
\[ x + 3x = 76 \]
\[ 4x = 76\ \Rightarrow\ x = \frac{76}{4} = 19 \]

Questions

How old is the child?

19.

How old is the parent?

57.

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    Parent is 3 times the child's age, total 76: 57 and 19 | WordGPT