NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 7: Algebra - Expressions into Statements in Ordinary Language
Question 77

Question. 77

Kartik is n years old. His father is 7n years old.

Answer:

Age of Kartik’s father is seven times the age of Kartik.

Detailed Answer with Explanation:

Step 1: Let Kartik’s age be (n) years.

Step 2: His father’s age is given as (7n) years.

Step 3 (Compare): To see how many times the father’s age is of Kartik’s age, take the ratio:

(dfrac{ ext{Father's age}}{ ext{Kartik's age}} = dfrac{7n}{n})

Step 4 (Simplify): Cancel (n) in numerator and denominator:

(dfrac{7n}{n} = 7)

Conclusion: The father’s age is (7) times Kartik’s age.

Quick check (example): If (n = 5), then Kartik is (5) years and father is (7 imes 5 = 35) years. (35) is indeed (7) times (5).

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 7: Algebra – Expressions into Statements in Ordinary Language | Detailed Answers