Question

The ratio of the present ages of A and B is 5 : 6. The ratio of their ages five years before was 4:5.find their present ages.
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Answer 1

Step-by-step explanation:

25 and

30 is present age of A and B

Answer 2

Answer:

$let \: the \: present \: age \: of \: a \: and \: b \: is \: x \: and \: y \\ \frac{x}{y} = \frac{5}{6} \\ 6x - 5y = 0 \: \: \: \: \: \: \: \: \: \: (1) \\ \frac{x - 5}{y - 5} = \frac{4}{5} \\ 5x - 4y = 5 \: \: \: \: \: \: \: \: \: (2) \\ multiplying \: equation \: (1) \: by \: 4\: and \:(2) \: by \: 5 \\ 24x - 20y = 0 \: \: \: \: \: \: \: (3) \\ 25x - 20y = 25 \: \: \: \: \: \:(4) \\ subtracting \: equation \: (3) \: by \: (4) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 25x - 20y = 25 \\ ( - ) \: \: \: \: \: \: \: \: 24x - 20y = 0 \\ x = 25 \\ y = 30$