Explanation

let

first number=x

2nd number will be= x+2

3rd number will be =x+4

Condition

x+x+2+x+4=66

3x+6=66

3x=66-6

3x=60

x=60/3=20

first number=20

2nd number=20+2=22

3rd number=20+4=24

Explanation

Solution for What is 20 percent of 0.75:

20 percent *0.75 =

(20:100)*0.75 =

(20*0.75):100 =

15:100 = 0.15

Explanation

According to the question, Bachal is now three times as old as his son,

so, x = 3y

five years before their ages would have been, x-5 and y-5. And the question says the Bachal was four times as old as his son,

x-5 = 4( y -5)

x-5= 4y -20

x-4y + 15 = 0

3y - 4y + 15 =0 , we already know x = 3y

y = 15 and x = 45

The Bachal is presently 45 and the son is 15

Explanation

let the maximum marks be x

Candidate A score = 20% of x

= 20/100 (x)

=> x/5a

Candidate fails by 50 marks

Hence , candidate would have passed if 50 marks are added to his marks :

x/5 +50 => (x+250)/5

Now, score of Candidate B

40% of x

=> 40/100 (x) =>2x/5

A.T.Q

2xs/5 - 30

=> (2x-150)/5

both the equations are equal as both the equations justify minimum passing marks

Hence, (x+250)/5 = (2x-150)/5

cancelling 5 from both sides

x+250 = 2x - 150

x = 400

Explanation

4 Men and 6 Women take 8 days. So TOTAL WORK = 32 MD + 48 WD

 (where MD= Mandays, & WD = Womandays, a unit of work) ……(eqn1)

3 Men and 7 Women take 10 days. So, TOTAL WORK = 30 MD + 70 WD …. (eqn2)

Equating the total work,

32 MD + 48 WD = 30 MD + 70 WD

=> 2 MD = 22 WD

=> 1 MD = 11 WD

So, replacing man days in eqn2,

TOTAL WORK = 400 WD

Now, 10 women will complete 10 WD of work in one day.

To complete 400 WD of work,

Time needed = (400 WD)/(10 WD) = 40 Days

Explanation

60 days = 15 men

1 day = 60*15 = 900 men

25 days = 900/25 = 36 men

Explanation

MALE TEACHER= 90 TOTAL =150 150-90=60

SO FEMALE TEACHER=60

NOW 90/150x100=60% MALE TEACHER

60/150x100=40% FEMALE TEACHER

Explanation

Assume the total number is x

X x 4% = 120

X  x 4 = 120 x 100

X = 120000/4

x = 3000

Explanation

Average = sum of all values/total number of values

Sum of all values = total numb of values  x  Average

=24*10=240

=25*11=275

Age of teacher=275-240=35

Explanation