Question

One number is twice another number and their sum is 36.

Which system of equations represents the word problem?

Ox+y = 36 and y = 2 x
Oy= 2 x and 2 x - y = 36
02x+y = 36 and x - y = 36

Answer 1

12 and 24

Explanation:

`{ \tt{x = 2y - - - - (a)}} \\ { \tt{x + y = 36 - - - (b)}}`

Perform for eqn (b):

`{ \tt{2y +y = 36}} \\ { \tt{3y = 36}} \\ { \tt{y = 12}}`

For x:

`{ \tt{x = 2y}} \\ { \tt{x = 2 * 12}} \\ { \tt{x = 24}}`