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ICSE Class 8 Answered

If the same numbers be added to the numbers 2,4,14 and 22 then the resultant numbers are in proportional. Find the number 
Asked by Amansingh4358 | 28 Sep, 2018, 10:22: PM
answered-by-expert Expert Answer
 
 
Let x as the number to be added.
begin mathsize 16px style fraction numerator 2 space plus space straight x over denominator 4 space plus space straight x end fraction equals fraction numerator 14 space plus space straight x over denominator 22 space plus space straight x end fraction rightwards double arrow open parentheses 2 space plus space straight x close parentheses open parentheses 22 space plus space straight x close parentheses equals space open parentheses 4 space plus space straight x close parentheses open parentheses 14 space plus space straight x close parentheses rightwards double arrow 44 space plus space 2 straight x space plus space 22 straight x space plus straight x squared space equals space 56 space plus space 4 straight x space plus space 14 straight x space plus space straight x squared rightwards double arrow 24 straight x space plus space 44 space equals space 18 straight x space plus space 56 rightwards double arrow 6 straight x space equals space 12 rightwards double arrow straight x space equals space 2 Therefore space 2 space is space the space number. end style

 

Answered by Yasmeen Khan | 30 Sep, 2018, 04:18: PM

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