The ages of A and B are in the ratio 7:5. Ten Years hence, the ratio of their agaes will be 9:7. Find their current ages.

Asked by moumita.hyd | 26th May, 2015, 07:58: PM

Expert Answer:

Let the ages of A and B be 'a' and 'b' respectively.
Given that a:b=7:5...(1)
Ten years hence, their ages will become a+10 and b+10 respectively.
Given that, a+10:b+10 = 9:7...(2)
Solve (1) and (2) as follows:
fraction numerator a plus 10 over denominator b plus 10 end fraction equals 9 over 7 rightwards double arrow 7 a minus 9 b equals 20... left parenthesis 3 right parenthesis a over b equals 7 over 5 rightwards double arrow 5 a minus 7 b equals 0... left parenthesis 4 right parenthesis A d d i n g space left parenthesis 3 right parenthesis space a n d space left parenthesis 4 right parenthesis comma space w e space g e t 12 a minus 16 b equals 20 rightwards double arrow 3 a minus 4 b equals 5.. left parenthesis 5 right parenthesis S u b t r a c t i n g space left parenthesis 4 right parenthesis space f r o m space left parenthesis 3 right parenthesis space w e space g e t 2 a minus 2 b equals 20 rightwards double arrow a minus b equals 10 rightwards double arrow a equals 10 plus b U sin g space t h e space a b o v e space v a l u e space o f space apostrophe a apostrophe space i n space left parenthesis 5 right parenthesis space w e space g e t 3 open parentheses 10 plus b close parentheses minus 4 b equals 5 rightwards double arrow b equals 25 rightwards double arrow a equals 10 plus 25 equals 35

Answered by satyajit samal | 27th May, 2015, 09:57: AM

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