3x + 3x + 3x = 3. 3x =3x+1 

(a0 - 3b0)5  = (1-3)5 { যেকোন বাস্তব সংখ্যার পাওয়ার  0 হলে এর মান 1 হয়}

                 =(-2)5  =-32

                      =(-2)5

here,

3√x = 2√3

or,√x = 2/√3

or,x=4/3 

or,x = 1.33 

x % of 40 = y 

40x/100 = y 

x = 100y/40 

x = 5y/2 

10x = 25y

If we say that A = the tens digit {দশক স্থানীয় অঙ্ক } B = the units digit. {একক স্থানীয় অঙ্ক}  then, original integer = 10A + B and original integer with digits reversed = 10B + A Now, we can use the fact that the difference between these two two-digit numbers is 27 to write the following equation: 10A + B - (10B + A) = 27 We have one equation and two variables. However, this is enough to answer the question, which asks for the difference between the two variables, A - B! 10A + B - (10B + A) = 27  10A + B - 10B - A = 27  9A - 9B = 27  9(A - B) = 27  A - B = 3

here,

an=n+2n−1

 so, sixth term,  a6=6+26−1=38

fifth terms of the sequence,a5=5+25−1=21;

The difference is 38-21=17.

set A : people with more than 4 years exp  set B : people with degree 

AUB = total - (less than 4 exp and no degree)  AUB = 30-3=27

AUB = A + B - A ∩ B  A ∩ B = 18+14-27 =5 

Total number of games = x of games won in first 100 = .8 * 100 number of games won in remaining games = .5 * (x-100) number of games won in entire season = .7x

Now,  .7x = .8 * 100 + .5 * (x-100) Or, .7x - .5x = 80 - 50 Or, .2x = 30 Or, x = 300/20 = 150

(4−x)/(2+x)=x

or,(4−x)/(2+x)=x

or, ( 4−x) =x X (2+x)

or,( 4−x) =2x+x2

or, 4−x=2x+x2 

or, x2+3x−4=0

We are asked to find the percentage of females in employed people.

Total employed people 64%, out of which 48 are employed males, hence 16% are employed females. 

(employed females)/(total employed people)

=16/64

=1/4

=25%

Suppose,  Side of square = x

Here,  √2x =20 

Or,2x2 = 400

or,x2=200 Or,x =14.1421 So,perimeter = 4 X 14.1421 =56.56

Consider , Sister weight Now as x Lalon’s  weight (2 times +8) = 2x+8

Here,

(2x+8)+(x) =278

x=90

Lalon’s weight is  =  (2 X 90 +8) =188

Let the score in the 5th test be x. The sum of the first 4 tests = 78 X 4=312 Now it implies ,

312+x/5=80 Therefore, x=88