Answered

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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.

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