Answered

Westonci.ca is your trusted source for finding answers to a wide range of questions, backed by a knowledgeable community. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

A father is four times as old as his daughter. In 8 years, he will be three times as old as she is. How old is the daughter now

Sagot :

Answer:

The daughter is 16 and the father is 64

Step-by-step explanation:

f=father

d=daughter

f = 4d

f+8 = 3(d+8)

solving-

d=16

f=64

iciclepiano18

Answer:

16 years old

Step-by-step explanation:

Let "x" represent the daughter's age and "y" represent the father's age. We can use this information to set up two equations...

[tex]4x=y[/tex]

[tex]3(x+8)=y+8\\[/tex]

Please note we are only adding "8" because the question states "In 8 years"

We can solve this system of equations using the substitution method. In this case, we can substitute "4x" for "y".

[tex]3(x+8)=4x+8\\[/tex]

Distribute the 3 to each term in the parentheses:

[tex]3(x)+3(8)=4x+8\\3x+24=4x+8[/tex]

Subtract 3x from both sides:

[tex]24=x+8[/tex]

Subtract 8 from both sides:

[tex]x=16[/tex]

The daughter is 16 years old now.

CHECK THE SOLUTION:

Right now:

Daughter - 16

Dad - 64

[tex]64\div 16=4\rightarrow Correct![/tex]

8 years:

Daughter - 24

Dad - 72

[tex]72\div 24=3\rightarrow Correct![/tex]

Therefore we can conclude that the daughter is 16 years old.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.