Question

find the number which when added to each term of the ratio 27:35 , changes the ratio to 4:5

Answer 1

$\frac{27 + x}{35 + x} = \frac{4}{5} \\ 5(27 + x) = 4(35 + x) \\ 135 + 5x = 140 + 4x \\ x = 5$
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Answer 2

the answer is 5 when it add with 27 it become 32 and when it add with 35 it become 40 and when divide them by 8 the result is 4: 5