Math, asked by Toogreat, 3 months ago

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.

Answers

Answered by kakarlanikhil108

0

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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