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Sagot :
[tex]Let \ x+6 \ be \ the \ age \ of \ John \\ Let \ x \ be \ the \ age \ of \ his \ brother \ \\ \\ x+10 \to \ age \ of \ John \ 4 \ years \ from \ now. \\ x+4 \to \ age \ of \ John's \ brother \ 4 \ years \ from \ now. \\ \\ x+10=2(x+4)[John's \ age \ in \ four \ years \ is \ twice \ as \ his \ brother.] \\ \\ x+10=2x+8[Use \ Distributive \ Property] \\ \\ 10=x+8[subtracted \ x \ from \ both \ sides] \\ \\ 2=x[subtracted \ 8 \ from \ both \ sides] \\ \\ \boxed{x=2} \\ \\ x+6 \to \boxed{8}[/tex]
Let x be the age of his Brother
Therefore, John's Age will be
y = 6 + x (first equation)
In 4 years
y + 4 = 2(x + 4) (second equation)
Now let's substitute the value of y from the first equation to the second equation
(6 + x) + 4 = 2(x + 4)
Add 6 and 4; Multiply 2 to x + 4
10 + x = 2x + 8
Transpose x and 8
10 - 8 = 2x - x
Therefore the age of his brother is
x = 2
Now let's substitute the value of x to the first equation
y = 6 + 2
Therefore John's age is
y = 8
Now let us check if adding 4 to both will make John's age twice as his brother
after 4 years
x = 2 + 4
x = 6
---
y = 8 + 4
y = 12
12 is twice as 6. Therefore it is correct.
I hope it helps
Therefore, John's Age will be
y = 6 + x (first equation)
In 4 years
y + 4 = 2(x + 4) (second equation)
Now let's substitute the value of y from the first equation to the second equation
(6 + x) + 4 = 2(x + 4)
Add 6 and 4; Multiply 2 to x + 4
10 + x = 2x + 8
Transpose x and 8
10 - 8 = 2x - x
Therefore the age of his brother is
x = 2
Now let's substitute the value of x to the first equation
y = 6 + 2
Therefore John's age is
y = 8
Now let us check if adding 4 to both will make John's age twice as his brother
after 4 years
x = 2 + 4
x = 6
---
y = 8 + 4
y = 12
12 is twice as 6. Therefore it is correct.
I hope it helps
Salamat sa iyong pagbisita. Kami ay nakatuon sa pagtulong sa iyong makahanap ng impormasyon na kailangan mo, anumang oras na kailangan mo ito. Salamat sa iyong pagbisita. Kami ay nakatuon sa pagtulong sa iyong makahanap ng impormasyon na kailangan mo, anumang oras na kailangan mo ito. Maraming salamat sa pagtiwala sa Imhr.ca. Bisitahin kami ulit para sa mga bagong sagot mula sa mga eksperto.