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