Q. The average age of 14 girls and their teacher’s age is 15 years. If the teacher’s age is excluded, the average reduces by 1. What is the teacher’s age?
✅ Correct Answer: (D)
29 years
Explanation: According to question ,
Total age of 14 girls + 1 teacher = 15 × 15 = 225 yrs.
Average age of 14 girls = 14 yrs.
∴ Total age of 14 girls = 14 × 14 = 196 yrs.
∴ Teacher’s age = 225 – 196 = 29 yrs.
Total age of 14 girls + 1 teacher = 15 × 15 = 225 yrs.
Average age of 14 girls = 14 yrs.
∴ Total age of 14 girls = 14 × 14 = 196 yrs.
∴ Teacher’s age = 225 – 196 = 29 yrs.
Explanation by: Vaibhav Shukla
According to question ,
Total age of 14 girls + 1 teacher = 15 × 15 = 225 yrs.
Average age of 14 girls = 14 yrs.
∴ Total age of 14 girls = 14 × 14 = 196 yrs.
∴ Teacher’s age = 225 – 196 = 29 yrs.
Total age of 14 girls + 1 teacher = 15 × 15 = 225 yrs.
Average age of 14 girls = 14 yrs.
∴ Total age of 14 girls = 14 × 14 = 196 yrs.
∴ Teacher’s age = 225 – 196 = 29 yrs.