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ICSE Class 7 Answered

2 numbers are in the ratio 3/2,8/3 each of these are increased by 15,they become in the in the ratio th
Asked by prasanna01051976 | 17 Aug, 2020, 09:31: PM
Expert Answer
The numbers are in the ratio 3/2 : 8/3.

Let the common ratio be x.
Therefore the numbers are 3x/2 and 8x/3.

If 15 is added to both the numbers the ratio become 5/3 : 5/2.

 fraction numerator begin display style fraction numerator 3 straight x over denominator 2 end fraction end style plus 15 over denominator begin display style fraction numerator 8 straight x over denominator 3 end fraction end style plus 15 end fraction equals fraction numerator begin display style 5 over 3 end style over denominator begin display style 5 over 2 end style end fraction equals 2 over 3
rightwards double arrow space 3 open parentheses fraction numerator 3 straight x over denominator 2 end fraction plus 15 close parentheses equals 2 open parentheses fraction numerator 8 straight x over denominator 3 end fraction plus 15 close parentheses
rightwards double arrow space open parentheses 9 straight x plus 90 close parentheses 3 equals open parentheses 16 straight x plus 90 close parentheses 2
rightwards double arrow space 27 straight x plus 270 equals 32 straight x plus 180
rightwards double arrow space 5 straight x space equals space 90
rightwards double arrow space straight x space equals space 18
The space two space numbers space are space 27 space and space 48.
Hence comma space the space greater space number space is space 48.

Thus, the numbers are 2x = 2 × 10 = 20 and 3x = 3 × 10 = 30.
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