Question

The present ages of A and B are in the ratio 9:4 , after 7 years the ratio of their ages will be 5:3 .finf their Present ages

Answer 1

Answer:

18 y 8y

Step-by-step explanation:

let the age of A and B be a and b

$a:b = 9:4 \\ \\ let \: proportionality \: factor \: be \: x \\ \\ a = 9x \\ \\ b = 4x \\ \\ after \: 7 \: years \\ \\ (a + 7):(b + 7) = 5:3 \\ \\ \frac{a + 7}{b + 7} = \frac{5}{3} \\ \\ \frac{9x + 7}{4x + 7} = \frac{5}{3} \\ \\ 27x + 21 = 20x + 35 \\ \\ 7x = 14 \\ \\ x = 2 \\ \\ \\ \\ their \: ages \: are \: 18 \: and \: 8 \: years \: respectively$

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Answer 2

Answer:

18 y 8y

Step-by-step explanation:

let the age of A and B be a and b

$\begin{lgathered}a:b = 9:4 \\ \\ let \: proportionality \: factor \: be \: x \\ \\ a = 9x \\ \\ b = 4x \\ \\ after \: 7 \: years \\ \\ (a + 7):(b + 7) = 5:3 \\ \\ \frac{a + 7}{b + 7} = \frac{5}{3} \\ \\ \frac{9x + 7}{4x + 7} = \frac{5}{3} \\ \\ 27x + 21 = 20x + 35 \\ \\ 7x = 14 \\ \\ x = 2 \\ \\ \\ \\ their \: ages \: are \: 18 \: and \: 8 \: years \: respectively \\ \\\end{lgathered}$