Math, asked by lohfyb6, 1 year ago

one tenth of a number is 2 less than 1 seventh of its predecessor find the number

Answers

Answered by sanjeevk28012
35

Given :

one tenth of a number is 2 less than 1 seventh of its predecessor

To Find :

The number

Solution :

Let The number = n

So, One-tenth of number n = \dfrac{1}{10} × n

                                          = \dfrac{n}{10}

Now,

The predecessor of number n = n - 1

So, One-seventh of number ( n -1 ) = \dfrac{1}{7} × ( n - 1 )

                                                      = \dfrac{n-1}{7}

According to question

one tenth of a number =  1 seventh of its predecessor - 2

i.e  \dfrac{n}{10} = \dfrac{n-1}{7} - 2

Solving this equation

or,  \dfrac{n}{10}  =  \dfrac{n-1-14}{7}

By cross multiplication

  7 n = 10 ( n - 15 )

Or,  7 n = 10 n - 150

Or,  10 n - 7 n = 150

Or,     3 n = 150

∴           n = \dfrac{150}{3}

i.e number = n = 50

Hence, The number for he given condition is 50   . Answer

Answered by nainaharnal47
2

Answer:

answer is 50,,,

Step-by-step explanation:

let the no. x or n or what every letter you want. Then you have to solve the equation, and then multiple it and reduce the answer which you got from multiple and when you will reduce it you will get the answer as 50.

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