Question

If the present age of A and B are in
will be 2:3 , then find their ages.
near equations with two variables.
? in the ratio 3:5 and after 4 years the ratio of the age.​

Answer 1

Answer:

16 y 24 y

Step-by-step explanation:

Let the present ages of A and B be a and b

$given \\ \: a:b = 2:3 \\ \\ let \: proportionality \: be \: x \\ \\ a = 2x \\ \\ b = 3x \\ \\ \: 4 \: years \: \: ago\\ \\ (a - 4):(b - 4) = 3:5 \\ \\ \frac{a - 4}{b - 4} = \frac{3}{5} \\ \\ = \frac{2x - 4}{3x - 4} = \frac{3}{5} \\ \\ 10x - 20 = 9x - 12 \\ \\ x = 8 \\ \\ their \: ages \: are \: 16 \: \: and \: 24$

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Answer 2

Answer:

16 y and 24 y

Step-by-step explanation:

Let the present ages of A and B be a and b

$\begin{lgathered}given \\ \: a:b = 2:3 \\ \\ let \: proportionality \: be \: x \\ \\ a = 2x \\ \\ b = 3x \\ \\ \: 4 \: years \: \: ago\\ \\ (a - 4):(b - 4) = 3:5 \\ \\ \frac{a - 4}{b - 4} = \frac{3}{5} \\ \\ = \frac{2x - 4}{3x - 4} = \frac{3}{5} \\ \\ 10x - 20 = 9x - 12 \\ \\ x = 8 \\ \\ their \: ages \: are \: 16 \: \: and \: 24 \\ \\\end{lgathered}$