Question

The difference between two numbers is 30. One of the numbers , x, is 20% less than the other number. What is the value of x

Answer 1

Answer:

According to the Question,

    x - { x - ( 20/100 × x )} = 30

    x - { 80/100 × x } = 30

    20/100 × x = 30

    x = 150 (Ans.)

Answer 2

value of x is 150

Given,

The difference between two numbers is 30.

x is 20% less than the second number.

Considering this we can get the equation:

   $x-(x-\frac{20}{100}*x) = 30$

Solving for the equation,

taking LCM

  $x-(\frac{100x-20x}{100})=30$

  $x-(\frac{80x}{100} )=30$

simplifying the fraction

  $x-(\frac{20x}{25})=30$

taking LCM

  $\frac{25x-20x}{25}=30$

Multiplying 25 x 30

  $5x=750$

Dividing 750 by 5

  $x=150$

Therefore the value of x is 150.

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