WordGPT

A parent is 2 times as old as their child. Together they are 87. How old is each?

The child is 29 and the parent is 58.

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 2 times as old, so the parent is 2x.

  2. 2

    Together they are 87:

    x+2x=87x + 2x = 87
  3. 3

    Combine the x terms and divide:

    3x=87 ⇒ x=873=293x = 87\ \Rightarrow\ x = \frac{87}{3} = 29
  4. 4

    The parent is 2 × 29 = 58.

  5. 5

    Check: 29 + 58 = 87 ✓ and 58 = 2 × 29 ✓.

LaTeX source of the formulas on this page
\[ x + 2x = 87\ \Rightarrow\ x = 29 \]
\[ x + 2x = 87 \]
\[ 3x = 87\ \Rightarrow\ x = \frac{87}{3} = 29 \]

Questions

How old is the child?

29.

How old is the parent?

58.

Similar problems

    Parent is 2 times the child's age, total 87: 58 and 29 | WordGPT