Question

Hana is 4 year older than her brother. 2 years ago, her brother’s age was ¾ of her age. How old will her brother be in 5 Years?​

Answer 1

Daqui 5 anos, o irmão de Hanna terá 19 anos. (The brother of Hanna will have 19 years old in 5 years).

Como Calcular a Idade do Irmão?

Nós temos esses dados inciais:

• Ana has a brother.
• x = age of Ana.
• y = age of her brother.

Com isso, podemos estruturar as seguintes equações:

• Hana is 4 year older, so: x=y+4 (I)
• 2 years ago, the brother has 3/4 of her age, so: y-2=3(x-2)/4 (II)

Now we have to use the first (I) equation to replace the variable x on the second (II).

(y-2)=[3(y+4-2)]/4

(y-2)x4=3y+6

4y-8=3y+6

y=14 years old.

Então, se ele tem 14 anos agora, daqui 5 anos ele terá 19 anos. (So, if he has 14 years old today, in 5 years he will have 19 years old).

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