Question

The ratio of A and B
ages
is 4.5. if the difference between
the present age of B and the age of A, 5 years hence is 3,
then what is the total of
present ages of A and B?

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Answer 1

Ages of A and B, at present is 4:5.

4 years later it becomes 14:17. Or

4x+4 : 5x+4 = 14 : 17, or

17(4x+4) = 14(5x+4), or

68x + 68 = 70x + 56, or

2x = 12, or

x = 6.

So, A is 24 years and B, 30 years, now. Answer

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Answer 2

Answer:

Let the ages of A and B are 4x and 5x yr, respectively.

According to the question

4x+45x+4=1417

68x + 68 = 70x + 56

2x = 12 = > x = 6

Hence, present age of B = 5 x 6 = 30 yr