38.7k views
4 votes
The sum of a number and three more than twice that number is 27 . What is the smaller number

2 Answers

7 votes

Answer:

Hence, the smaller number is:

8

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:


x+2x+3=27\\\\\\i.e.\\\\\\3x+3=27

Now on subtracting both side by 3 we get:


3x=27-3\\\\\\i.e.\\\\\\3x=24

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


x=8

The smaller number is: 8

User Shinning River
by
7.3k points
4 votes

write a formula

27=x +(2x+3)

2x+x = 3x

27 = 3x+3

24=3x

x=8

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

User Roundrobin
by
7.7k points