7 years ago, the ages (in years) of A and B were in the ratio 4 : 5; and 7 years hence they will be in the ratio 5 : 6. The present age of B is
7 years ago, the ages of A and B were in the ratio 4x : 5x
7 years hence they will be in the ratio 5x : 6x
forming the equation
4x + 7 = 5x - 7
solving we get x = 14
therefore age of B 7 years ago = $$ 14 \times 5 = 70 $$
present age of B = 70 + 7 = 77
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