SOLUTION: In three more years, Danny’s father will be 2 times as old as Danny was last year. When Danny’s present age is added to his father’s age, the total is 86.How old is each one now?

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Question 798280: In three more years, Danny’s father will be 2 times as old as Danny was last year.
When Danny’s present age is added to his father’s age, the total is 86.How old is each one now?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = Danny's age now
Let +f+ = his father's age now
+f+%2B+3+ = father's age in 3 years
+d+-+1+ = Danny's age last year
-------------------------------------
(1) +f+%2B+3+=+2%2A%28+d+-+1+%29+
(2) +d+%2B+f+=+86+
----------------------
(1) +f+%2B+3+=+2d+-+2+
(1) +2d+-+f+=+5+
----------------------
Add (1) and (2)
+3d+=+91+
+d+=+30.333+
and
(2) +f+=+86+-+d+
(2) +f+=+55.667+
Danny is 30 and 4 months
father is 55 and 8 months
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check:
(1) +f+%2B+3+=+2%2A%28+d+-+1+%29+
(1) +55.667+%2B+3+=+2%2A%28+30.333+-+1+%29+
(1) +58.667+=+2%2A29.333+
(1) +58.667+=+58.667+
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These are strange answers-you might want a 2nd opinion