Question

Find x :-
30:20 :: 20:x

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Answer 1

Answer:

Y = 100.

X = 90.

Step-by-step explanation:

Hey Mate,

Basically this type of question solve on base of options. Because many time their is more than one logic in the series. and if we get some other logic so our answer will be wrong. But their is no option. No problem we will make our method.

Series : 10, 30, 20, X, 50, 150, Y.

This is a mixture of two series.

Series 1 : 10, 20, 50, Y

Series 2 : 30, X, 150.

And both series have different logic.

Start with Series 1.

Series 1 : 10, 20, 50, Y

Diff : +10, +30, ?

So, When we check their is different of +20 in between 10 and 30. So, different between next next and 30 is also +20.

? = 30 + 20 = 50

So, Y = 50 + 50

Y = 100.

Now,

Series 2.

Series 2 : 30, X, 150.

Different between 30 and 150 is +120. so just divide 120 into 2 parts. Each part have +60.

So,

X = 30 + 60

X = 90. #(90 + 60 = 150(Next term))

#I already told you that this types of questions solve on basis of option. Because some series has more than one logic. So, if my logic and editors logic is different then the answer is wrong. But if my logic and editors logic is same then the answer is Correct.

Answer 2

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     30/20-(x/10)=0 

Step by step solution :

STEP1:

x Simplify —— 10

Equation at the end of step1:

30 x —— - —— = 0 20 10

STEP2:

3 Simplify — 2

Equation at the end of step2:

3 x — - —— = 0 2 10

STEP3:

Calculating the Least Common Multiple :

 3.1    Find the Least Common Multiple

      The left denominator is :       2 

      The right denominator is :       10 

Calculating Multipliers :

 3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M 

    Denote the Left Multiplier by  Left_M 

    Denote the Right Multiplier by  Right_M 

    Denote the Left Deniminator by  L_Deno 

    Denote the Right Multiplier by  R_Deno 

   Left_M = L.C.M / L_Deno = 5

   Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

 3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

Adding fractions that have a common denominator :

 3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 - (x) 15 - x ——————————— = —————— 10 10

Equation at the end of step3:

15 - x —————— = 0 10

STEP4:

When a fraction equals zero :

 4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

15-x ———— • 10 = 0 • 10 10

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

   15-x  = 0

Solving a Single Variable Equation:

 4.2      Solve  :    -x+15 = 0 

 Subtract  15  from both sides of the equation : 

                      -x = -15

Multiply both sides of the equation by (-1) :  x = 15

One solution was found :

 x = 15