. The average age of a child in a class of 35 is 11. The average age, including the teacher is 12. How old is the teacher? Th

Question

. The average age of a child in a class of 35
is 11. The average age, including the
teacher is 12. How old is the teacher?
The average weight of a kid in a group of
10 is 35 kilograms. When Sonu also
joined them, the average became 36 kilo-
grams. How much does Sonu weigh?​

in progress 0
Bella 1 month 2021-08-13T00:24:35+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T00:25:47+00:00

    Answers:

    1) Given:

    Average age of 35 children = 11

    Average age of 35 children including the teacher = 12.

    We know that,

    Average= sum of observations/Number of observations.

    Hence,

    → Sum of ages of 35 children/35 = 11

    → sum of ages of 35 children = 11 * 35

    sum of ages of 35 children = 385 years

    Similarly,

    → (sum of ages of 35 children + age of teacher )/36 = 12

    → 385 + age of teacher = 12 * 36

    → age of teacher = 432 – 385

    → age of teacher = 47 years

    Hence, the age of the teacher is 47 years.

    ______________________________

    2) Given:

    Average weight of 10 kids = 35 kg

    → sum of weights of 10 kids/10 = 35

    → sum of weights of 10 kids = 10 * 35

    sum of weights of 10 kids = 350 kg

    Also,

    When Sonu is joined the average becomes 36 kg.

    → (sum of weights of 10 kids + weight of Sonu)/10 + 1 = 36

    → sum of weights of 10 kids + weight of Sonu = 11 * 36

    → 350 + weight of Sonu = 396

    → weight of Sonu = 396 – 350

    → weight of Sonu = 46 kg

    Therefore, the Weight of Sonu is 46 kg.

    0
    2021-08-13T00:26:27+00:00

    Answer:

    1. The average age of a child in a class of 35 students

    is 11. The average age, including the teacher is 12. How old is the teacher?

    Solution :

    Average of 35 students is 11, when Teacher is Included the Average becomes 12.

    Assume Teacher Average Age be 11 only.

    He Brought (35 Students + Himself) Age as (12 – 11) = 1 year to Increase in Age Average.

    According to the Question :

    ⇒ Teacher Age = Average + He Brought In

    ⇒ Teacher Age = 11 + (35 + 1) × 1

    ⇒ Teacher Age = 11 + 36 × 1

    ⇒ Teacher Age = 11 + 36

    Teacher Age = 47 years

    Hence, Teacher is 47 years old.

    ━━━━━━━━━━━━━━━━━━━━━━━━

    2. The average weight of a kid in a group of 10 is 35 kilograms. When Sonu also joined them, the average became 36 kilograms. How much does Sonu weigh?

    Solution :

    Average of 10 kids is 35, when Sonu joined the Average becomes 36.

    Assume Sonu Average Weight be 35 only.

    He Brought (10 Kids + Himself) weight as (36 – 35) = 1 year to Increase in Weight Average.

    According to the Question :

    ⇒ Sonu Weight = Average + He Brought In

    ⇒ Sonu Weight = 35 + (10 + 1) × 1

    ⇒ Sonu Weight = 35 + 11 × 1

    ⇒ Sonu Weight = 35 + 11

    ⇒ Sonu Weight = 46 kg

    Hence, Sonu weighs 46 kilograms.

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