Intriguing fraction
Work out x
How did you do it?
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a=4, b=6, c=7
ReplyDeleteI found the factors of 84 to be 2×2×3×7 and then played around and found that 1/2 + 1/2×6 + 1/2×6×7 is equal to 50/84. I wanted the denominator to be 2×84 so that the fraction could equal 25/84. So I multiplied 1/2 + 1/2×6 + 1/2×6×7 by 1/2 to find that 1/4 + 1/24 + 1/168 works. Therefore a=4, ab=24, abc=168 following that the triplet is (4,6,7) and a+b+c is 17. Is there another way to do it?
The factors idea is a good one. Well spotted with 50/84. I used a different method and got the same answer as you. (And then used another method too!).
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