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 (A) 56 years (C) 70 years. (B) 63 years (D) 77 years.
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Answer:
D) 77 Years
Step-by-step explanation:
Let 7 yr ago, ages of A and B are 4x yr and 5x yr, respectively.
Then, present age of A = 4x + 7 and present age of B = 5x + 7
Now, according to the question,
4x+7+75x+7+7=56
24x + 84 = 25x + 70
x = 14
Hence, B's present age = 5 x 14 + 7= 77 yr
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