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Let the present ages of A and B be x and y respectively.So,ten years ago:
But,x:y=3:4 so,x=3a and y=4a (a is the constant of proportionality)
thus present ages of A=15yrs & B=20yrs
total age is 15+20=35 yrs
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Let A age's 10 years ago = x years
then the B age's 10 years ago=2x years
given ratios = 3:4 therefore A= 3x,B=4x
therefore present age = (x+ 10) / (2x+10)=3/4
                               = 6x+30=4x+40
    therefore A= 3x=3(5)=15 B=4x=4(5)=20
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