SOLUTION: Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864
Algebra.Com
Question 1127627: Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864
-----------
Step 1, find a pair of factors of 266 that differ by 5.
=========
Step 2, find a pair of factors of 864 that differ by 5.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Tolu is 5years older than Daniel. Six years ago the product of their ages was 266. How many years from now will the product of their ages be 864
------
Equations:
T = D + 5
(T-6)(D-6) = 266
----------------------------
Substitute to solve for T and D::
(D+5-6)(D-6) = 266
(D-1)(D-6) = 266
Solve::
D^2-7D+6 = 266
----
D^2-7D- 260 = 0
(D-20)(D+7) = 0
Positive solution::
D = 20 yrs
So, Tolu is 25 yrs
------------------
Final Equation:
(20+x)(25+x) = 864
x^2 + 45x + 500 = 864
x^2 + 45x - 364 = 0
(x-7)(x+52) = 0
Answer:: 7 years
-----------------------
Cheers,
Stan H.
---------
RELATED QUESTIONS
Tolu is five years older than Daniel. Six years ago,the product of their ages was 266.... (answered by math_helper)
A woman is now 4 times older than her daughter. Six years ago, the product of their ages... (answered by Merciful)
John is 5 years older than AL. Two years ago the product of their ages was 30 less than... (answered by stanbon,Edwin McCravy)
Nono is Five years older than his twin sisters. The sum of the ages of the twins three... (answered by lwsshak3)
John is 5 years older than Windell. Six years from now the sum of their ages will be 37... (answered by jojo14344)
michael is five years older than ela. six years from now, the sum of their ages will be... (answered by Fombitz)
John is now 4 times older than his son, Ethan. Six years ago, the sum of their ages was... (answered by jorel1380)
Alan is six years older than Karen. The product of Allan's age three years from now and... (answered by stanbon)
Noel is seven years older than Jack six years from now the sum of their ages will be... (answered by Alan3354)