Francescaramos377idn
Answered

Makakuha ng mga sagot ng eksperto sa iyong mga tanong sa IDNStudy.com. Anuman ang kahirapan ng iyong mga tanong, ang aming komunidad ay may mga sagot na kailangan mo.

the sum of ana's and liza's age is 45 .six years ago ana's was twice as old as liza's then. how old is lisa? ​

Sagot :

UK2019idn

✏️AGES

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{PROBLEM:}}[/tex]

  • The sum of Ana and Lisa's age is 45. Six years ago Ana was twice as old as Liza. Then, how old is Lisa.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{ANSWER:}}[/tex]

[tex]\qquad\Large\rm» \:\: \green{Lisa \:is\: 17\: years\: old}[/tex]

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex]\underline{\mathbb{SOLUTION:}}[/tex]

- Represent x and y as the ages of Ana and Lisa respectively. Formulated equations of the given statement.

  • [tex]\begin{cases}x + y = 45&\red{(eq.\:1)}\\(x-6) = 2(y-6)&\red{(eq. \:2)}\end{cases} [/tex]

- Find the solution of x from the first equation in terms of y then substitute it to the second equation which is the age of Lisa.

  • [tex]\begin{cases}x = 45 - y\\(x-6) = 2(y-6)\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\(45 - y-6) = 2(y-6)\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\39 - y =2y - 12\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\39 + 12 =2y + y\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\51 =3y\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\ \begin{gathered} \frac{51}{3} = \frac{ \cancel3y}{ \cancel3} \end{gathered}\end{cases} [/tex]

  • [tex]\begin{cases}x = 45 - y\\y = 17\end{cases} [/tex]

[tex]\therefore[/tex] Lisa is 17 years old.

[tex]\red{••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

#CarryOnLearning

Pinahahalagahan namin ang bawat tanong at sagot na iyong ibinabahagi. Patuloy na maging aktibo at magbahagi ng iyong karanasan. Sama-sama tayong magtatagumpay. Bumalik ka sa IDNStudy.com para sa maasahang mga sagot sa iyong mga katanungan. Salamat sa iyong tiwala.