WordGPT

A parent is 5 times as old as their child. Together they are 72. How old is each?

The child is 12 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 5 times as old, so the parent is 5x.

  2. 2

    Together they are 72:

    x+5x=72x + 5x = 72
  3. 3

    Combine the x terms and divide:

    6x=72 ⇒ x=726=126x = 72\ \Rightarrow\ x = \frac{72}{6} = 12
  4. 4

    The parent is 5 × 12 = 60.

  5. 5

    Check: 12 + 60 = 72 ✓ and 60 = 5 × 12 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 72\ \Rightarrow\ x = 12 \]
\[ x + 5x = 72 \]
\[ 6x = 72\ \Rightarrow\ x = \frac{72}{6} = 12 \]

Questions

How old is the child?

12.

How old is the parent?

60.

Similar problems

    Parent is 5 times the child's age, total 72: 60 and 12 | WordGPT