Question 2 of 17intermediate🔧 ApplyNumerical3 marks

Hetal is twice as old as her brother. She is also 10 years older than her brother. Guess the age of Hetal and her brother.

Correct Answer

Step 1: Let brother's age = x years.

Step 2: Hetal is twice as old, so Hetal's age = 2x years.

Step 3: Hetal is also 10 years older than brother: 2x = x + 10

Step 4: Solving: 2x - x = 10 x = 10

Step 5: Brother's age = 10 years Hetal's age = 2×102 \times 10 = 20 years

∴ Brother is 10 years old and Hetal is 20 years old.

Exercise: Age Fun | Q: 10 | (Chapter: Page 4)
For More Understanding

Explanation

This is a puzzle involving age relationships. If Hetal is twice as old as her brother and also 10 years older, we can solve it by thinking: Let brother's age be x. Then Hetal's age is 2x. Since Hetal is also 10 years older: 2x = x + 10, so x = 10. Brother is 10 years old and Hetal is 20 years old.

Solution Steps

  1. Step 1: Let brother's age = x years.

  2. Step 2: Hetal is twice as old, so Hetal's age = 2x years.

  3. Step 3: Hetal is also 10 years older than brother: 2x = x + 10

  4. Step 4: Solving: 2x - x = 10, so x = 10

  5. Step 5: Brother's age = 10 years, Hetal's age = 2×102 \times 10 = 20 years.

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