Jeanquinto890idn
Answered

Makakuha ng maaasahan at pangkomunidad na mga sagot sa IDNStudy.com. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

john is 6 years older than his brother.he will be twice as old as his brother in 4 years.how old is john now?

Sagot :

Dominiidn
[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]
Alvedeguzidn
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
Salamat sa iyong kontribusyon. Huwag kalimutang bumalik at magtanong ng mga bagong bagay. Sama-sama tayong lumikha ng isang mas matibay na samahan. Salamat sa pagpili sa IDNStudy.com. Umaasa kami na makita ka ulit para sa mas maraming solusyon.