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One number is equal to two times a second number. Two times the first number plus two times the second number is 24. If you let x stand for the first number and y for the second, what are the two numbers?

Ax = 24, y = 12
Bx = 12, y = 6
Cx = 8, y = 4
Dx = –24, y = –12

Verified Answer :

apologiabiology

1 number is 2 times second number
x is 2 times y
x=2y
2 times first plus 2 times second is 24
2x+2y=24

x=2y
sub
2x+x=24
3x=24
divide 3
x=8
sub
x=2y
8=2y
divide 2
4=y


x=8
y=4

C is answer

Answer:

Option C is correct   x=8 and y=4  

Step-by-step explanation:

We have been given two numbers first number is x and second number is y

From first case one number is equal to two times a second number we will get

\(x=2y\)    (1)

From second case two times the first number plus two times the second number is 24 we will get

\(2x+2y=24\)     (2)

On solving equation (1) and (2) by substituting  \(x=2y\) in equation (2) we will get

\(2(2y)+2y=24\)

After simplification we will get

\(4y+2y=24\)

\(\Rightarrow 6y=24\)

\(\Rightarrow y=4\)

Now, substitute \(y=4\text{in} x=2y\) we will get

\(\Rightarrow x=2(4)=8\)

Therefore, Option C is correct   x=8 and y=4  

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