Explanation

To simplify the expression, we need to follow the rules of fractions and combine like terms:

X + 1/7 - X - 1/8

First, subtract X from X, which cancels out:

1/7 - 1/8

To subtract fractions, we need a common denominator, which is 56. So we can rewrite the fractions as:

(8/56) - (7/56)

Now we can subtract: 1/56

So the simplified result is:

1/56

Explanation

Calculation:

Let, the present age of A = A

2 years ago, his age = A - 2

2 years from now, his age = A + 2

According to the question,

⇒  =  1/A - 2 + 1/A + 2 = 2/3

⇒ 3(A + 2 + A - 2) = 2(A + 2)(A - 2)

⇒ 6A = 2(A2 - 22)

⇒ A2 - 3A - 4 = 0

⇒ A2 + A - 4A - 4 = 0

⇒ A(A + 1) - 4(A + 1) = 0

⇒ (A - 4)(A + 1) = 0

⇒ A = 4 or -1

Since, age can't be negative A = 4

∴ The present age of A is 4 years.

Explanation

To determine how many shirts a person can iron in one hour, given that they iron four shirts in 12 minutes, follow these steps:

1: Calculate the time to iron one shirt:

12 minutes for 4 shirts means 1 shirt takes 

12/ 4 =3 minutes.

2: Determine how many shirts can be ironed in one hour:

One hour = 60 minutes.

If one shirt takes 3 minutes, then in 60 minutes, the number of shirts ironed is 

60/ 3 =20 shirts.

Explanation

Given that, P : Q = 8 : 15, Q : R = 3 : 2

P : Q : R = (8 x 3) : (15 x 3) : (15 x 2) = 24 : 45 : 30

∴ P : Q : R = 8 : 15 : 10

Here, consequent of first ratio should be equal to the antecedent of second ratio.

Explanation

Explanation

A trade surplus occurs when a country exports more goods and services than it imports.

This indicates a positive balance of trade, where the country earns more revenue from exports than it spends on imports.

Explanation

To find the required speed, we first calculate the distance covered by the train:

$$text{Distance} = text{Speed} times text{Time} = 45 , text{km/h} times 5 , text{hours} = 225 , text{km}$$

Now, to cover this 225 km in 3 hours, the required speed is:

$$$$Speed=Distance/Time=225 km/3 hours=75 km/h

Explanation

To solve this problem according to Islamic inheritance law, we need to follow these steps:

Step 1: Calculate the net estate

First, we subtract the debt and burial expenses from the total property:

Total property: Rs. 640,000

Debt: Rs. 40,000

Burial expenses: Rs. 5,000

Net estate = Rs. 640,000 - Rs. 40,000 - Rs. 5,000

Net estate = Rs. 595,000

Step 2: Distribution according to Islamic Law

According to Islamic inheritance rules (under Sunni law):

The widow is entitled to 1/8 of the estate.

The remaining estate is distributed among the children, where:

Each son gets twice the share of a daughter.

Widow's share:

The widow gets 1/8 of Rs. 595,000:

Widow’s share =1/8×595,000=74,75

Remaining estate:

The remaining estate after the widow’s share is:

$$595,000-74,375=520,625$$

Distribution among the children:

The ratio of distribution between sons and daughters is 2:1.

So, the total shares for 2 sons and 1 daughter will be:

• Each son gets 2 shares, and the daughter gets 1 share.
• Total shares = 2 (for 1st son) + 2 (for 2nd son) + 1 (for the daughter) = 5 shares.

Explanation

Explanation