WordGPT

A parent is 5 times as old as their child. Together they are 36. How old is each?

The child is 6 and the parent is 30.

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 36:

    x+5x=36x + 5x = 36
  3. 3

    Combine the x terms and divide:

    6x=36 ⇒ x=366=66x = 36\ \Rightarrow\ x = \frac{36}{6} = 6
  4. 4

    The parent is 5 × 6 = 30.

  5. 5

    Check: 6 + 30 = 36 ✓ and 30 = 5 × 6 ✓.

LaTeX source of the formulas on this page
\[ x + 5x = 36\ \Rightarrow\ x = 6 \]
\[ x + 5x = 36 \]
\[ 6x = 36\ \Rightarrow\ x = \frac{36}{6} = 6 \]

Questions

How old is the child?

6.

How old is the parent?

30.

Similar problems

    Parent is 5 times the child's age, total 36: 30 and 6 | WordGPT