The sum of two numbers is 15. When one of these numbers is added to three times the other, the result is 27. What are the numbers?

Question

The sum of two numbers is 15. When one of these numbers is added to three times the other, the result is 27. What are the numbers? Um HALP

Answer 1

Hi Shakib,

Step One; Create Let Statements

Let x= the first number

Let 15-x= the second number

Step Two: Write our equation

27=15-x+3x

27-15=3x-x Combine like terms

12=2x Divide both sides by two

x=6

∴The first number is 6 while the second number is 9. 

Best, 

Starlyte

Answer 2

x and 15-x are the numbers

3x+(15-x)=27

3x+15-x=27

2x=27-15

2x=12

x=6

15-x=15-6=9

6 and 9 are the numbers