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

If the same number be added to the numbers 2, 4, 14 and 22 then the re

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

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