Answer :
4 mother will be 5 times as old as her daughter.
Mother= 9 times as old as the daughter.
4 times 5= 20 mother
9 times 5= 45
Mother=29
daughter=15
Mother= 9 times as old as the daughter.
4 times 5= 20 mother
9 times 5= 45
Mother=29
daughter=15
Set up a system of equations:
y + 4 = 5(x + 4)
y = 9x
Where 'y' represents the mother's age and 'x' represents the daughter's age.
Plug in 9x for 'y' in the first equation:
y + 4 = 5(x + 4)
9x + 4 = 5(x + 4)
Distribute 5 into the parenthesis:
9x + 4 = 5x + 20
Subtract 5x to both sides:
4x + 4 = 20
Subtract 4 to both sides:
4x = 16
Divide 4 to both sides:
x = 4
Plug this into any of the two equations to find 'y':
y = 9x
y = 9(4)
Multiply:
y = 36
So at the present, the daughter is 4 years old and the mother is 36 years old.
y + 4 = 5(x + 4)
y = 9x
Where 'y' represents the mother's age and 'x' represents the daughter's age.
Plug in 9x for 'y' in the first equation:
y + 4 = 5(x + 4)
9x + 4 = 5(x + 4)
Distribute 5 into the parenthesis:
9x + 4 = 5x + 20
Subtract 5x to both sides:
4x + 4 = 20
Subtract 4 to both sides:
4x = 16
Divide 4 to both sides:
x = 4
Plug this into any of the two equations to find 'y':
y = 9x
y = 9(4)
Multiply:
y = 36
So at the present, the daughter is 4 years old and the mother is 36 years old.