Explanation

1. Original total age of 13 boys:

2. New average after 2 boys join = 13 + 2 = 15 years

Total boys = 13 + 2 = 15 boys

So, the total age of the 15 boys = 15×15=225 years

3. Sum of ages of the 2 new boys =

Explanation

=56 - 3 + 7 - 5.1

=53 + 7 - 5.1

=60 - 5.1

= 54.9

Explanation

 We know A + B = 12.

We also know A + B + C = 8.

Substitute the value of A + B into the second equation: 12 + C = 8.

Solve for C: C = 8 - 12 = -4.

Explanation

Time = Distance ÷ Speed = 400 ÷ 20 = 20 hours

Explanation

The sequence shows factorials: 1!, 1!, 2!, 3!, 4!, so next is 5! = 120.

Explanation

Since x is 20% more than z, we have:

x = z + (20% of z)

= 100 + (20/100) × 100

= 100 + 20

= 120

Since y is 80% more than z, we have:

y = z + (80% of z)

= 100 + (80/100) × 100

= 100 + 80

= 180

Now, we need to find the ratio x:y. We can simplify this by dividing both numbers by their greatest common divisor (GCD), which is 20.

x = 120 ÷ 20 = 6

y = 180 ÷ 20 = 9

So, the ratio x:y is 6:9. We can further simplify this by dividing both numbers by their GCD, which is 3.

x = 6 ÷ 3 = 2

y = 9 ÷ 3 = 3

Therefore, the ratio x:y is 2:3.

Explanation

To find the value of 39/26:

39/26 = 1.5

= 3/2

Explanation

Given:

• Cost Price (C.P.) = Rs. 1000

• Selling Price (S.P.) = Rs. 800

Step 1: Calculate Loss

$$text{Loss} = text{C.P.} - text{S.P.} = 1000 - 800 = text{Rs. 200}$$

Step 2: Calculate Loss Percentage

$$text{Loss$$1000​)×100=20%

Explanation

Let's examine the sequence:

19, 26, 33, 40, 47, 53

The differences between consecutive terms:

26 - 19 = 7

33 - 26 = 7

40 - 33 = 7

47 - 40 = 7

53 - 47 = 6

Given the pattern of differences is +7 consistently except for the last step:

The sequence follows a pattern of adding 7, but 53 - 47 = 6 breaks this pattern.

So, 53 is the odd one in the sequence.

Explanation

0.085 ÷ 0.017 = 5 because 85 ÷ 17 = 5 (after removing the decimals by multiplying both numerator and denominator by 1000).