Question

If the same number be added to the numbers 2, 4, 14 and 22 then the resultant
numbers are in proportion. Find the number.
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Answer 1

Answer:

2

Step-by-step explanation:

Let the number added be x.

According to Question,

(2+x) : (4+x) : : (14+x) : (22+x)

In Proportion,

Product of extreme terms = Product of mean terms

=> (2+x) × (22+x) = (4+x) × (14+x)

=> 44 + 24x + x² = 56 + 18x + x²

=> 24x - 18x = 56 - 44

=> 6x = 12

=> x = 12/6

=> x = 2

Answer 2

2 is the right answer

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