WordGPT

A parent is 6 times as old as their child. Together they are 28. How old is each?

The child is 4 and the parent is 24.

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 6 times as old, so the parent is 6x.

  2. 2

    Together they are 28:

    x+6x=28x + 6x = 28
  3. 3

    Combine the x terms and divide:

    7x=28 ⇒ x=287=47x = 28\ \Rightarrow\ x = \frac{28}{7} = 4
  4. 4

    The parent is 6 × 4 = 24.

  5. 5

    Check: 4 + 24 = 28 ✓ and 24 = 6 × 4 ✓.

LaTeX source of the formulas on this page
\[ x + 6x = 28\ \Rightarrow\ x = 4 \]
\[ x + 6x = 28 \]
\[ 7x = 28\ \Rightarrow\ x = \frac{28}{7} = 4 \]

Questions

How old is the child?

4.

How old is the parent?

24.

Similar problems

    Parent is 6 times the child's age, total 28: 24 and 4 | WordGPT