Question

when 1 is subtracted from five times a number and the result is divided by 3 more than twice the number we get 4.5 find the number

Answer 1

$\large \bf {Question}$ :- When 1 is subtracted from five times a number and the result is divided by 3 more than twice the number we get $\dfrac{4}{5}$. Find the number.



$\large \bf {Answer}$ :-

Let the number be x

Five times a number = 5x

When 1 is subtracted from 5 times a number = 5x - 1

The result is divided by 3 more than twice the number = 2x + 3


According to the question,

$\dfrac{5x - 1}{2x + 3} = \dfrac{4}{5}$

5(5x - 1) = 4(2x + 3)

=> 25x - 5 = 8x + 12

=> 25x - 8x = 12 + 5

=> 17x = 17

=> x = $\dfrac{17}{17}$

=> x = 1



∴ The number is 1



Verification :-

$\dfrac{5x - 1}{2x + 3} = \dfrac{4}{5}$

=> $\dfrac{5 × 1 - 1}{2 × 1 + 3} = \dfrac{4}{5}$

=> $\dfrac{4}{5} = \dfrac{4}{5}$

LHS = RHS ✔✔

Answer 2

Step-by-step explanation:

\large \bf {Question}Question :- When 1 is subtracted from five times a number and the result is divided by 3 more than twice the number we get \dfrac{4}{5}

5

4

. Find the number.

\large \bf {Answer}Answer :-

Let the number be x

Five times a number = 5x

When 1 is subtracted from 5 times a number = 5x - 1

The result is divided by 3 more than twice the number = 2x + 3

According to the question,

\dfrac{5x - 1}{2x + 3} = \dfrac{4}{5}

2x+3

5x−1

=

5

4

5(5x - 1) = 4(2x + 3)

=> 25x - 5 = 8x + 12

=> 25x - 8x = 12 + 5

=> 17x = 17

=> x = \dfrac{17}{17}

17

17

=> x = 1

∴ The number is 1

Verification :-

\dfrac{5x - 1}{2x + 3} = \dfrac{4}{5}

2x+3

5x−1

=

5

4

=> \dfrac{5 × 1 - 1}{2 × 1 + 3} = \dfrac{4}{5}

2×1+3

5×1−1

=

5

4

=> \dfrac{4}{5} = \dfrac{4}{5}

5

4

=

5

4

LHS = RHS ✔✔