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PLEASE HELP ME !!!
Hyun is comparing two numbers. He knows the larger number is twice the value of 4 more than the smaller number, x. He also knows their difference is 11. Which equation can he use to find the value of the smaller number, x?


A) x = 4 x + 2


B) x = 2 (x + 4)


C) (4 x + 2) - x = 11


D) 2 (x + 4) - x = 11

Respuesta :

calculista

Answer:

Option D.

[tex]2(x+4)-x=11[/tex]

Step-by-step explanation:

Let

x ----> the smaller number

y ----> the larger number

we know that

The larger number is twice the value of 4 more than the smaller number

[tex]y=2(x+4)[/tex] ----> equation A

Their difference is 11

[tex]y-x=11[/tex] ----> equation B

substitute equation A in equation B

[tex]2(x+4)-x=11[/tex]

Solve for x

[tex]2x+8-x=11\\x=11-8\\x=3[/tex]

Find the value of y

[tex]y=2(3+4)=14[/tex]

therefore

The numbers are 3 and 14

Answer:

D

Step-by-step explanation:

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