Question

when a number is multiplied by4/3 and subtracted2/5 from it the result is _8/15.find the number​

Answer 1

The number is 7/10.

Step-by-step explanation:

We are given that a number is multiplied by 4/3 and subtracted 2/5 from it the result is 8/15.

Firstly, let the required number be $x$.

Now, first condition says that a number is multiplied by 4/3, that means;

                             $x \times \frac{4}{3}$ = $\frac{4x}{3}$

Then, it is given that subtracted 2/5 from the number so formed so that the result is 8/15, i.e.;

                            $\frac{4x}{3}-\frac{2}{5}=\frac{8}{15}$

Now, to solve the above expression firstly we have make the denominator same for both fractions which can be done as;

                           $\frac{4x \times 5}{3\times 5}-\frac{2\times 3}{5\times 3}=\frac{8}{15}$

                            $\frac{20x}{15}-\frac{6}{15}=\frac{8}{15}$

                             $\frac{20x-6}{15}=\frac{8}{15}$

                             $20x - 6 = 8$    {as 15 gets canceled out from both sides}

                             $20x = 8+6$

                             $20x =14$

                               $x = \frac{14}{20}$  or  $\frac{7}{10}$

Therefore, the number is $\frac{7}{10}$ .