Question

a rational number is such that, when you multiply it by 7/15 and add 5/14 to the product, you get -8/21. what is the number?

Answer 1

The answer :

Let, the rational number be x

A. T. Q

x × 7/15 + 5/14 = -8/21

7x/15 + 5/14 = -8/21

7x/15 = -8/21 - 5/14

7x/15 = -8×2 - 5×3/42

7x/15 = -16 - 15/42

7x/15 = -31/42

By cross multiplication

7x × 42 = -31 × 15

294x = -195

x = -195/294

x = 65/98

Hence, the rational number x = 65/98

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Answer 2

$\underline{\large\bf{\mathfrak{Solution :}}}$

Let' assume the number to be x

According to Question,

7x/15 + 5/14 = -8/21

=> 7x/15 = -8/21 - 5/14

=> 7x/15 = (- 16 - 15)/42

=> 7x/15 = (- 31)/42

=> 7x/5 = (-31)/14

=> 14(7x) = 5(- 31)

=> 98x = - 155

=> $\boxed{x = -155/98}$

Hence, the require number is -155/98

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