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2(x/(x + 3)) = (x + 6)/(x + 8)

ie 2x/(x + 3)= (x + 6)/(x + 8)

Cross multiply: 2x(x + 8)= (x + 3)(x + 6)

ie 2x2 + 16x = x2 + 9x + 18

ie x2 + 7x - 18 = 0

Factorise: (x + 9)(x - 2) = 0

ie x = 2, fraction = 2/5

Check: 2/5 x 2 = 8/10? Yes. Job done

(x could also be -9, fraction -9/-6 which is half of -3/-1)

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Q: The numerater of a fraction is 3 less than the denomintater If the numerater is increased by 6 and denominter by 5 The fraction is doubled in value find original fraction?
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