Explanation

Given equation:

3/x + 2/(x+1) = 1

Multiply both sides by x(x+1):

3(x+1) + 2x = x(x+1)

Expanding both sides:

3x + 3 + 2x = x² + x

Combine like terms:

5x + 3 = x² + x

Rearrange the equation:

x² - 4x - 3 = 0

Solve the quadratic equation:

x = (4 ± √(16 + 12)) / 2

x = (4 ± √28) / 2

x = (4 ± 2√7) / 2

x = 2 ± √7

The answer is 2 + √7 or 2 - √7.

Explanation

Let's denote A's rate of work as A, and B's rate of work as B.

Given A + B together complete the work in 12 days:

(A + B)'s 1 day's work = 1/12

B alone completes the work in 20 days:

B's 1 day's work = 1/20

A's 1 day's work = (A + B)'s 1 day's work - B's 1 day's work

= 1/12 - 1/20

= (5 - 3) / 60

= 2 / 60

= 1 / 30

A alone will complete the work in 30 days.

Explanation

Explanation

The standard rate of Zakat on silver, gold, and currency is 2.5% (or 2 ½ %)

........

Zakat money can be spent on Poor Muslims

Zakat became obligatory in 2 AH

List of Heads of Zakat

1. Al-Fuqara (The poor)

2. Al-Masakin (The needy)

3. Zakat collectors

4. Who converted to Islam

5. Freeing captives

6. Debtors

7. In the path of Allah

8. Wayfarer (Traveler)

Explanation

"Yes" is used to affirm or agree, which is a function of an adverb.

It modifies the entire sentence, indicating confirmation.

Explanation

The phrase "who speaks the truth" describes or modifies "someone", which is a noun.

Therefore, it functions as an adjective phrase (more precisely, a relative clause).

Explanation

Explanation

The border conflict between Ethiopia and Somalia centers around the Ogaden region, which Somalia claims as part of Greater Somalia.

This issue has led to wars and ongoing tensions in the Horn of Africa.

Explanation

Profit = 20% of Rs. 180 = 20/100 × 180 = 36

Selling Price = Cost Price + Profit = 180 + 36 = Rs. 216

Explanation

Let's denote the cost price as CP.

Given selling price (SP) = Rs 2400

Loss percentage = 20%

CP = SP / (1 - Loss percentage)

= 2400 / (1 - 0.20)

= 2400 / 0.80

= Rs 3000