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

Answer:

The required number is - 3.625.

Step-by-step explanation:

According to the question let a number a,

It is given that 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 .

So, let's start from the beginning.

1 . 1 is subtracted from 5 times of a.

Now,

Five times of a = 5a

1 subtracted from it = 5a - 1

Hence, 1 subtracted from five times the number = 5a - 1

2 . Result( = 5a - 1 ) is divided by 3 more than twice the same number.

Now,

Twice of the number = 2a

3 more than twice the number = 2a + 3

3 . Result on dividing 5a - 1 by 2a + 3 = 4.5

= >  ( 5a - 1 ) / ( 2a + 3 ) = 4.5

= >  5a - 1 = 4.5( 2a + 3 )

= >  5a - 1 = 9a + 13.5

= >  - 1 - 13.5 = 9a - 5a

= >  - 14.5 = 4a

= >  - 14.5 / 4 = a

= >  -  3.625= a

Therefore the required number is - 3.625 .