What is the number?

Question

Two more than eight times a number is equal to the number increased by 100.What is the number?

Answer 1

The first step is to figure out how to change the words into number sentences.  

 

Since you're trying to figure out "the number", let x=the number

 

Two more than is +2 (or 2+)

Eight times a number is 8x

Is equal to is =

The number increased by 100 is x+100

 

Now put everything together into a number sentence

 

2+8x=x+100

 

Solve for x

 

7x=98

x=14

 

Check your answer by putting it back into the original problem.  Make sure your answer works.

 

2+8x=x+100

2+(8)(14)=14+100

2+112=114

114=114

 

It works.  SO

 

x=14