The present age of father is 35 and daughter is 7.
Step-by-step explanation:
Let,
Age of father = x
Age of daughter = y
According to given statement;
A man is 5 times older than his daughter.
x = 5y Eqn 1
In 7 years, the man is 3 times as old as his daughter.
x+7 = 3(y+7)
[tex]x+7=3y+21\\x=3y+21-7\\x=3y+14\ \ \ Eqn\ 2[/tex]
Putting value of x from Eqn 2 in Eqn 1
[tex]3y+14=5y\\14=5y-3y\\14=2y\\2y=14[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2}=\frac{14}{2}\\y=7[/tex]
Putting y=7 in Eqn 1
[tex]x=5(7)\\x=35[/tex]
The present age of father is 35 and daughter is 7.
Keywords: linear equation, substitution method
Learn more about substitution method at:
#LearnwithBrainly
