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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
Pinahahalagahan namin ang iyong pagbisita. Sana'y naging kapaki-pakinabang ang mga sagot na iyong natagpuan. Huwag mag-atubiling bumalik para sa karagdagang impormasyon. Salamat sa pagpunta. Nagsusumikap kaming magbigay ng pinakamahusay na mga sagot para sa lahat ng iyong mga katanungan. Kita tayo muli sa susunod. Mahalaga ang iyong kaalaman. Bumalik sa Imhr.ca para sa higit pang mga sagot at impormasyon.