Question

the average weight of kidney group of 10 is 35 kilograms. when Sonu also join them, the average become 36 kilograms. how much does Sonu weigh?​

Answer 1

CorrEct QuEstioN :

• The average weight of kid group of 10 is 35 kilograms. When Sonu also joins them, the average will become 36 kilograms. How much does Sonu weight?

GivEn:

• The average weight of kid group of 10 is 35 kilograms.
• When Sonu also joins them, the average will become 36 kilograms.

To find:

• Sonu's weight?

Solution:

★ Total weight = Average weight × No. of students

➻ 35 × 10

➻ 350

★ According to the Question:

➻ Average weight of 11 kids = 36

➻ 36 × 11

➻ 396

⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━

• Now, Finding sonu's weight,

➻ Total weight after Sonu joined - Total weight before Sonu joined

➻ 396 - 350

➻ 46kg

∴ Hence, Weight of Sonu is 46kg.

Answer 2

$\Large{\underline{\underline{\sf{Solution:-}}}}$

Given,

The average weight of kidney group of 10 = 35kg

Arithmetic Mean = 35kg

According To Sum

$→\;{\sf{\frac{X_1+X_2+X_3+....+X_9+X_{10}}{10} = 35}}$

$→\;{\sf{X_1+X_2+....+X_9+X_{10} = 35×10}}$

$→\;{\sf{X_1+X_2+X_3+....+X_9+X_{10} = 350}}$

When Sonu joined the average become 36 kgs.

New, Arithmetic Mean = 36kg

$→\;{\sf{\frac{X_1+X_2+X_3+....+X_9+X_{10}+Sonu}{11} = 36}}$

$→\;{\sf{350+Sonu = 36×11}}$

$→\;{\sf{Sonu = 396-350}}$

$→\;{\sf{Sonu = 46kg}}$

∴ Weight of Soun ◕➜ $\Large{\red{\mathfrak{46\;kgs}}}$

Hope It Helps You ✌️