Explanation

Let's denote the present age of A as 3x and B as 4x.

Step 1: Express their ages 10 years ago

A's age 10 years ago = 3x - 10

B's age 10 years ago = 4x - 10

Step 2: Formulate the equation based on the given information

A was half of B's age 10 years ago:

3x - 10 = 1/2 * (4x - 10)

Step 3: Solve the equation

3x - 10 = 2x - 5

3x - 2x = -5 + 10

x = 5

Step 4: Find their present ages

A's age = 3x = 3 * 5 = 15

B's age = 4x = 4 * 5 = 20

Step 5: Calculate the total of their present ages

Total age = 15 + 20 = 35

Explanation

36 is a composite number as it has factors other than 1 and itself.

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Explanation

Let the two-digit number be xy, where x is the tens digit and y is the units digit.
The sum of its digits is x + y.
The number is three times the sum of its digits, so we can write an equation: xy = 3(x + y).
Simplify the equation: 10x + y = 3x + 3y.
Rearrange the equation to get: 7x = 2y.
Now, if 45 is added to the number, the digits are reversed, so we can write another equation: xy + 45 = yx.
Simplify the equation: 10x + y + 45 = 10y + x.
Rearrange the equation to get: 9x = 9y - 45.
Divide both sides by 9 to get: x = y - 5.
Now we have two equations:

1. 7x = 2y

2. x = y - 5

Substitute the second equation into the first equation:
7(y - 5) = 2y
Expand and simplify:
7y - 35 = 2y
5y = 35
y = 7
Now that we have found y, substitute it back into one of the original equations to find x:
x = y - 5
x = 7 - 5
x = 2
So, the original number is 27.

Explanation

Zakat is typically 2.5% of the total wealth.

To find the total amount, divide the Zakat paid by 0.025 (8500 ÷ 0.025 = 340,000).

Explanation

45 per-cent of 300 per-- divide cent--- 100 of --- multiply 45/100 multiply 300 45 multiply 3.

Correct Answer: 135

Explanation

A man bought a flat for Rs.820,000. He borrowed 55% of this money from a bank. How much money did he borrow from the bank?

Total Amount = 820,000

Bought from Bank = 55%

               = 820,000 x 55/100

                               = 451,000

Explanation

After 10 days: 150 men had food for 35 days.

Suppose 125 men had food for x days.

Now, Less men, More days (Indirect Proportion)

 125 : 150 :: 35 : x        125 x x = 150 x 35

 x =         150 x 35

125

 x = 42.

Explanation

Explanation

If mango juice is 20%, then apple juice is 80% (since 100% – 20% = 80%).

The ratio of mango to apple juice is 20:80, which simplifies to 1:4.

Explanation