Explanation

20 x w x 5 = W

10 x w x X = W 

Equating both equations, we get,

10 x W x X = 20 x w x 5

X = 100/ 10 

X = 10 

ND5-07-2023

Explanation

Let the number of buffaloes is x and the number of ducks is y. 

Each buffalo has 1 head & 4 legs.

Each duck has 1 head & 2 legs.

So the number of heads =x+y and the number of legs=4x+2y.

So, by the given condition,

4x+2y=2(x+y)+24

4x−2x+2y−2y=24

2x=24

x=12

ND-21-5-2023

Explanation

We are given:

• Each pill contains = 0.2 grams of medicine
• Total available medicine = 1 kilogram = 1000 grams

Step 1: Calculate the Number of Pills

Number of pills= Total medicine/Medicine per pill​

=1000/0.2​

=1000×10​/2=5000

Explanation

The area of a square is calculated by multiplying the length of one side by itself.

In this case, the area is given as 4m^2.

To find the length of the square, we need to take the square root of the area.

The square root of 4 is 2.

Therefore, the length of the square is 2 meters.

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

Let number of boys = x
Then girls = x + 7
Total = x + x + 7 = 27
2x + 7 = 27 → 2x = 20 → x = 10
Girls = 10 + 7 = 17

Explanation

Let Latif's age be 7x and Saleem's age be 9x.

Since Latif is younger than Saleem by 7 years:

9x - 7x = 7

2x = 7

x = 7/2

x = 3.5

Now, Latif's age = 7x = 7(3.5) = 24.5

Explanation

To find the range of a data set, we need to determine the difference between the maximum and minimum values in the set.

Given data set of student ages: 16, 17, 18, 16, 19, 20

1. The minimum age in the data set is 16.

2. The maximum age in the data set is 20.

3. To calculate the range, we subtract the minimum age from the maximum age:

Range = 20 = 16 = 4

Explanation

Let Vinay’s present age be x

Then, his mother’s present age = 3x

After 5 years,

Vinay’s age = x + 5

Vinay's mother’s age = 3x + 5

Sum of Vinay and Vinay's Mother's age after 5 years = 70

⇒x + 5 + 3x + 5 = 70

⇒ 4x+10 = 70

⇒4 x = 60

⇒ x = 15

⇒ 3x45

∴Vinay’s age is 15 years and his 

mother’s age is 45 years

Explanation