Question

the ages of Arun and Akash are in the ratio of 7 ratio 5 after 6 years there it is would be in the ratio of 5 ratio 4 find their present ages​

Answer 1

Step-by-step explanation:

$present \: age \: of \: arun \: and \: akash \: = 7 x: 5x \\ after \: 6 \: years \: the \: ratio of Arun \: and akash \: 5 :4 \\ age \: of Arun \: = 7x + 6 = 5\\ age \: of \: akash = 5x + 6 = 4 \\ \frac{7x + 6}{5x + 6} = \frac{5}{4 } \\ 5(5x + 6) = 4(7x + 6) \\ 25x + 30 = 28x + 24 \\ 30 - 24 = 28x - 25x \\ 6 = 3x \\ x = \frac{6}{3} \\ x = 2 \\ present \: age \: of \: arun \: = 7x \\ = 7(2) \\ = 14 \\ present \: age \: of \: akash \: = 5x \\ =5(2) \\ = 10$

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