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Tcecarenko [31]
4 years ago
11

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?
A. x = 24, y = 12
B. x = 12, y = 6
C. x = 8, y = 4
D. x = –24, y = –12
Mathematics
2 answers:
ch4aika [34]4 years ago
6 0

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  

earnstyle [38]4 years ago
3 0
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
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