the present age of vijay and gautam are in the ratio 2:3,five years hence.their age will be in the ratio 3:4 find their present ages
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Let , the common ratio be x
Then , The present age of Vijay is 2x
And , the present age of Gautam is 3x
5 Years hence , the age of Vijay will be ( 2x + 5 )
And , the age of Gautam will be ( 3x + 5 )
Therefore ,
( 2x + 5 ) / ( 3x + 5 ) = 3 / 4
3 ( 3x + 5 ) = 4 ( 2x + 5 )
9x + 15 = 8x + 20
9x - 8x = 20 - 15
x = 5
•°• The present age of Vijay is ( 2x ) = 2 × 5 = 10 years
And , the present age of Gautam is ( 3x ) = 3 × 5 = 15 years
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