NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - True or False Questions
Question 54

Question. 54

The difference between the ages of two sisters Leela and Yamini is a variable.

Answer:

false

Detailed Answer with Explanation:

  1. Let Leela’s age be (L) years and Yamini’s age be (Y) years today.

  2. Their age difference is:

    ( ext{difference} = |L - Y| )

  3. After 1 year, their ages become:

    ( L + 1 ) and ( Y + 1 )

    The new difference is:

    ( |(L + 1) - (Y + 1)| )

    ( = |L - Y| )

  4. So the difference does not change with time. It stays the same every year.

  5. Example: If Leela is 12 and Yamini is 9, the difference is:

    ( 12 - 9 = 3 )

    Next year: ( 13 - 10 = 3 ) (still 3)

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – True or False Questions | Detailed Answers