NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Expressions into Statements in Ordinary Language
Question 84

Question. 84

The number of girls enrolled in a school last year was g. The number of girls enrolled this year in the school is 3g − 10.

Answer:

The number of girls enrolled this year was 10 less than 3 times the girls enrolled last year.

Detailed Answer with Explanation:

Explanation (very simple steps)

  1. What does g mean?
    It stands for the number of girls enrolled last year.
    ( ext{Last year} = g)
  2. Three times last year
    Multiply (g) by 3:
    (3 imes g)
    (= 3g)
  3. Ten less than that
    Now subtract 10 from (3g):
    (3g - 10)
  4. Meaning in words
    ( ext{This year} = 3g - 10) means:
    “The number of girls this year is 10 less than three times the number last year.”

Quick check with an example

  • Suppose (g = 20) (last year 20 girls).
  • Three times last year: (3 imes 20 = 60).
  • Ten less than that: (60 - 10 = 50).
  • So, this year would be 50 girls — which matches the rule “10 less than 3 times last year.”
NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Expressions into Statements in Ordinary Language | Detailed Answers