if the sum of a number and twice another number is 13. the first number is four larger what are the numbers?

Question

There needs to be and equation for both questions asked and an answer

Answer 1

Hi Kaylee

 

Since you are working with the sum of two numbers, we can represent the numbers as X & Y.

 

Assuming that your second sentence is intended to mean four more than the second number...then the first number, X = Y + 4

 

You are also told that X + 2*Y = 13

 

Plug in the expression for X in this second equation and you can solve for Y, which you can then use in the expression for X to obtain the value of X.

Answer 2

the sum of a number and twice another number is 13:

 

x + 2y = 13 ... equation 1

 

the first number is four larger

 

x = y + 4 ... equation 2

 

replace x with y+4 in equation 1

 

y+4 + 2y = 13

3y+4=13

3y = 13-4

3y=9

y = 9/3

y = 3

 

x = y + 4 = 7

 

Your numbers are 7 and 3