Question

Please help me , I have been try to solve it for 2 hours. thank you very much. ​

Answer 1

See the three answers with their explanation below

Step-by-step explanation:

a. To eliminate the fraction from each side you multiply both sides by the least common denominator of the fractions of the two sides.

In this case it is 2×3 = 6

See how you do it:

`6* (1)/(2)(x-4)=6* (1)/(3)x+6* 2\\ \\ 3(x-4)=2x+12`

b. This word problem would lead to the given equation:

Half the age of Alice 4 years ago equals 2 more than one third of her current age.

• Current age: x
• Age four years ago: x - 4
• Half the age of Alice four years ago:
  `(1)/(2)(x-4)`

• 2 more than one third of her current age:
  `2+(1)/(3)x=(1)/(3)x+2`

Equality condition:

• 
  `(1)/(2)(x-4)=(1)/(3)x+2`

c. Solution

`(1)/(2)(x-4)=(1)/(3)x+2\\ \\ 3(x-4)=2x+12\\ \\ 3x-12=2x+12\\ \\ x=24`

Meaning: Alice is currently 24 years old.