SOLUTION: Tolu is five years 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.

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Question 1127441: Tolu is five years 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.
Answer by math_helper(2461) About Me  (Show Source):
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Let T=Tolu's age
and D=Daniel's age

(1) T = D+5
(2) (T-6)(D-6) = 266

Subs. for T from (1) into (2):
(D+5-6)(D-6) = 266
. . .
+D%5E2-7D-260+=+0+
++%28D%2B13%29%28D-20%29+=+0+
D=20 —> T=25
Check: (25-6)(20-6) = (19)(14) = 384 (ok)

Let x = number of years until their age product is 864
(20+x)(25+x) = 864
+x%5E2+%2B+45x+%2B+500+=+864+
+x%5E2+%2B+45x+-364+=+0+
+%28x-7%29%28x%2B52%29+=+0+
x=7.
—
Ans: in +highlight%28+7+%29+ years the product of Tolu's and Daniel's ages will be 864
—
Check: (20+7)(25+7) = 27*32 = 864