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Admin if it is possible for you then can you provide at least 1mock test for Insolvency abd Bankruptcy Board of India Assistant Manager Exam

Present age of two friends are in 3:5, five years later there age will be 7:11. Find present age.
In this question we will make sure the difference b/w first and second ratio must be same. Multiply first by 11-7=4 and second by 5-3=2.
we will obtain first ratio as 12:20 and second ratio as 14:22.
Now since age will have same difference through the condition, we can conclude that this 2 unit(which is difference b/w 12 and 14 or 20 and 22) is equal to 5 years. Therefore 12 unit is eqaul to 30 years and 20 unit is 50 years. It is present age.
Here I need to know the concept why after multiplying the initial ratios by each others difference make there difference equal. I mean why multiplying 3:5 with 4 and 7:11 with 2 make there difference equal.

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