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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
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.