Question

One number is 3 less than twice another. If their sum is 39, find the numbers.

Which of the following systems of equations represents the word problem?
A.y = 2x - 3 and y = x + 39
B.y = 2x - 3 and x + y = 39
C.y = 2(x - 3) and x + y = 39 ...?

Answer 1

Let

y------> one number

x-----> another number

we know that

`y=2x-3` ------> equation A

`x+y=39` ------> equation B

substitute equation A in equation B

`x+[2x-3]=39`

`3x=39+3`

`x=42/3=14`

Find the value of y

`y=2*14-3=25`

the numbers are
`25` and
`14`

therefore

the answer is the option B

`y=2x-3` and
`x+y=39`

Answer 2

B.y = 2x - 3 and x + y = 39