Explanation

Let the three numbers be x,y,z

(x+y)/2=2

(y+z)/2=3

(x+z)/2=4

from all equations,

x+y=4

y+z=6

x+z = 8

Add all equations

2(x+y+z) = 18

x+y+z = 9

Avg of 3 nos = (x+y+z)/3

= 9/3

= 3

ND5-07-2023

Explanation

To find the average weight of the 11 students, we first need to calculate the sum of their weights and then divide by the total number of students.

Here are the weights of the students:

46 kg, 45.5 kg, 49 kg, 46.5 kg, 50 kg, 47 kg, 48 kg, 47.5 kg, 47.5 kg

Let's find the sum:

46+45.5+49+46.5+50+47+48+47.5+47.5

Summing these:

46+45.5=91.5

91.5+49=140.5

140.5+46.5=187

187+50=237

237+47=284

284+48=332

332+47.5=379.5

379.5+47.5=427

The sum of all weights is 427 kg.

Now, divide this sum by the number of students (11):

Average weight = 427 / 11 ≈ 38.82

It looks like there was a miscalculation. The correct calculation for average weight should be:

Average weight = 427/ 9 = 47.27

So, the correct average weight is 47.27 kg.

ND5-07-2023

Explanation

If you are the 11th person in the queue then there will be 10 people ahead of you

and there will be 10 people behind you including you there will be 10+10+1= 21 people in the queue.

Explanation

Let the total number of workers be x. Then,

8000x = (12000 * 7) + 6000(x – 7)

=>x=420002000

$x=\frac{42000}{2000}$ 

Answer = 21

Explanation

So, now we know that the average age of 5 members of a family 3 years ago is 17 years.

So, the sum of the ages of all members of the family 3 years ago will be (average age)*5.

The sum of the ages of the five members of the family 3 years ago will be 17*5 = 85 years.

As we know, now the age of all 5 members of the family should be 3 more than the age they had 3 years ago.

So, now the sum of the ages of the five members of the family should be 85 + 3*5 = 100.

But as we know that in three years a baby has also been born in the family.

Let the baby be born x years ago.

So, the current age of the baby will be x years.

So, now the sum of the present age of all members of the family including the baby will be the sum of the ages of 5 members + the sum of the ages of the baby.

So, today the sum of the ages of all 6 members of the family will be (100 + x) years.

Now as we are given that today the average age of the family is also 17 years.

So, the average age of the family is = Sum of the age of all members of the family / total number of members in a family

So, 17 = 100 + x6

Now, cross-multiplying the above equation to get the value of x.

17*6 = 100 + x

102 = 100 + x

So, x = 102 – 100 = 2 years.

Explanation

The speed of the bus going from Islamabad to Murree was 100 km/h,

while the speed of the bus was 130 km/h when coming back from Murree to Islamabad.

200km/h was the average speed of is the whole journey

for time using this formula

Using speed = Time/ Distance​

Time= speed/  distance

for average speed in the whole journey using this formula:

Now, Average speed =  Time  (tot)/ Distance  (tot)

​​

Explanation

The average temperature on Monday, Tuesday, and Wednesday= 30C

The temperature of Tuesday, Wednesday, and Thursday= 31C

Temperature of Thursday = 32C

formula:

 Mean= Sum of no. observation/ No. of observation

Calculation:

The average temperature on Monday, Tuesday, and Wednesday= 30C

Explanation

Explanation

tot = (last - first + 2) ÷ 2

tot = (80 - 2 + 2) ÷ 2

tot = 80 ÷ 2

tot = 40

Total even numbers from 1 to 81 = 40

Explanation

x,x+2,x+4,x+6,x+8

4,6,8,10,12

average=4+6+8+10+12÷5

average is 8

ND27-5-2023