Explanation

Let's solve the equations:

1. x + y = 5

2. x - y = 3

Add both equations:

2x = 8

x = 4

Now, substitute x = 4 in equation (1):

4 + y = 5

y = 1

The solution is (4, 1).

Explanation

To solve |3x| = 6:

3x = 6 or 3x = -6

x = 2 or x = -2

Explanation

The scale factor can be found by dividing the actual width by the width in the scale drawing. Actual width = 18 cm, scale width = 1.2 cm. Scale factor = Actual width / Scale width = 18 / 1.2 = 15.

The length in the scale drawing is 3.6 cm. Actual length = Scale length * Scale factor = 3.6 * 15 = 54 cm.

Explanation

5600 ÷ 280 = 20 USD

Divide the Pakistani Rupees by the exchange rate to get the amount in US Dollars.

Explanation

0.75 is a terminating decimal, which can be written as 75/100.

Simplifying 75/100 gives 3/4, making it a rational number.

Explanation

Explanation

Let Zubeda’s share = x → Then Farah’s share = x + 60

Total: x + (x + 60) = 440 ⇒ 2x + 60 = 440 ⇒ 2x = 380 ⇒ x = 190

So, Zubeda's share is Rs. 190, and Farah’s is Rs. 250.

Explanation

Let's say the two numbers are x and y.

Given:

x + y = 24 ... (1)

x - y = 6 ... (2)

Adding (1) and (2):

2x = 30

x = 15

Substituting x in (1):

15 + y = 24

y = 9

The numbers are 15 and 9.

Explanation

Total workers = 120

Women = 45

Men = 120 − 45 = 75

Now, the ratio of men to women = 75 : 45

Simplify by dividing both by 15:

75 ÷ 15 = 5

45 ÷ 15 = 3

The ratio of men to women is 5:3.

Explanation

Given:

Width = x

Length = 2 × Width = 2x

Perimeter of a rectangle = 2(Length + Width)

= 2(2x + x)

= 2(3x)

= 6x