Respuesta :

calculista

Answer:

Laura's age is [tex]6[/tex] years old

Elisabeth's age is [tex]1[/tex] year old

Step-by-step explanation:

Let

x-----> Laura's age

y----> Elisabeth's age

we know that

[tex]x=y+5[/tex] -----> equation A

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

substitute equation A in equation B and solve for y

[tex]y+5+4=2(y+4)[/tex]

[tex]y+9=2y+8[/tex]

[tex]2y-y=9-8[/tex]

[tex]y=1\ year[/tex]

find x

[tex]x=y+5[/tex]-----> [tex]x=1+5=6\ years[/tex]

zainebamir540

Answer:

Elizabeth age = 1 year  and Laura age=   6 years

Step-by-step explanation:

Let x be the age of Elisabeth then  according to the question we have

Age of Laura= x + 5

After 4 years,

Elizabeth's age = x + 4

Laura's age =x + (5+4) = x + 9

Looking into the question again we have

x + 9 = 2 (x + 4)

x + 9 = 2x + 8

2x - x = 9 - 8

x = 1 which is Elisabeth age

And age of Laura is x + 5 so 1 + 5 = 6

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