contestada

The sum of a number and three more than twice that number is 27 . What is the smaller number

Respuesta :

write a formula

27=x +(2x+3)

2x+x = 3x

27 = 3x+3

24=3x

x=8

double check 8+(8*2+3) = 27

Answer:

Hence, the smaller number is:

                     8

Step-by-step explanation:

Let the number be x.

This means that twice the number is represented as: 2x

Now three more than twice the number x is represented by: 2x+3

It is given that:

The sum of a number and three more than twice that number is 27 .

This means that:

[tex]x+2x+3=27\\\\\\i.e.\\\\\\3x+3=27[/tex]

Now on subtracting both side by 3 we get:

[tex]3x=27-3\\\\\\i.e.\\\\\\3x=24[/tex]

on dividing both side by 3 we get the value of x as:

[tex]x=8[/tex]

       The smaller number is: 8