SOLUTION: Kate's father is 3 years more than twice as old as Kate. The product of their ages in years is 560. How old is Kate?
Algebra.Com
Question 983410: Kate's father is 3 years more than twice as old as Kate. The product of their ages in years is 560. How old is Kate?
Found 2 solutions by josgarithmetic, Timnewman:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
y, father
k, kate
Factoring should be possible but general solution formula might be more comfortable than checking for the combinations.
Answer by Timnewman(323) (Show Source): You can put this solution on YOUR website!
Let Kate's age be "x"
Twice kate's age =2x
Kate's Father's age =3+2x
But the product of kate's ge and her father's age is 560,
then,
x(3+2x)=560
multiply out
3x+2x²=560
3x+2x²-560=0
2x²+3x-560=0
factorize the quadratic equation and get;
(2x+35)(x-16)=0
then,
2x+35=0 or x-16=0
x=-35/2 or x=16
ingnore tha nagative sign
hence,x=16yrs
Kate's age is 16yrs
HOPE THIS HELPS;....
-----BEST REGARDS,
TIMNEWMAN---------
RELATED QUESTIONS
Jon is 4 years younger than Kate. Millie is three times as old as Kate . If the sum of... (answered by josgarithmetic,ikleyn)
Kate is 20 years older than meg. In 9 years kate will be twice as old as meg. How old is... (answered by idefk69)
John is 4 years older than Kate. In 7 years he will be twice as old as Kate was five... (answered by Earlsdon)
Andy is twice as old as Kate. In 6 years, their ages will total 60. How old is each... (answered by JBarnum)
Andy is twice as old as kate. In years, their ages will total 60. how old is each now?
(answered by avani)
andy is twice as old as kate. in 6 years their ages with total 60. how old is each... (answered by josmiceli)
Andy is twice as old as kate in 6 years, their ages will toral 60 how old is each now (answered by Cromlix)
Andy is twice as old as Kate. In 6 years, their ages will total 60. How old is Andy... (answered by stanbon)
Andy is twice as old as Kate. In six years their ages will total 60. How old are they... (answered by ewatrrr)