WordGPT

A parent is 3 times as old as their child. Together they are 80. How old is each?

The child is 20 and the parent is 60.

Explain it step by step in chatMake a short video of it

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 80:

    x+3x=80x + 3x = 80
  3. 3

    Combine the x terms and divide:

    4x=80 ⇒ x=804=204x = 80\ \Rightarrow\ x = \frac{80}{4} = 20
  4. 4

    The parent is 3 × 20 = 60.

  5. 5

    Check: 20 + 60 = 80 ✓ and 60 = 3 × 20 ✓.

LaTeX source of the formulas on this page
\[ x + 3x = 80\ \Rightarrow\ x = 20 \]
\[ x + 3x = 80 \]
\[ 4x = 80\ \Rightarrow\ x = \frac{80}{4} = 20 \]

Questions

How old is the child?

20.

How old is the parent?

60.

Similar problems

    Parent is 3 times the child's age, total 80: 60 and 20 | WordGPT