The ages of Antony and Bevan are in the ratio 3 : 2. In 6 years, the ratio of their ages will be 5 : 4. Find their present ages.
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Let the ages be x say
Then the ratio becomes to 3x : 2x [ 3x : 2x can be written as 3x/2x ]
Another ratio becomes to 5x : 4x [ 5x : 4x can be written as 5x/4x ]
After 6 years there ratio = present ratio + 6
3x+6/2x+6
As per problem,
- 3x+6/2x+6 = 5x/4x [ Cross multiply ]
- 4x(3x+6) = 5x(2x+6)
- 12x²+24x = 10x²+30x
- 12x²+24x-30x-10x² = 0
- 2x²- 6x = 0
- 2x(x-3) = 0
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