Question

present age
11. If the sum of two numbers is 30 and their ratio is 2/3 then find the numbers
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Answer 1

Answer:

So those two numbers are 12 and 18

Step-by-step explanation:

Sum of two number =30  

Ratio = 2/3 => 2x + 3x. (Here x is a variable)

2x+3x=30

5x=30

x=30/5 => 6

So numbers are

2x= 2 x 6=> 12

3x= 3 x 6 => 18

So those two numbers are 12 and 18

please mark as brainliest

Answer 2

Answer:

$\boxed{\sf The \ two \ numbers = 12 \ and \ 18}$

Given:

Sum of two numbers = 30

Ratio of two numbers = 2/3

To Find:

The two numbers

Step-by-step explanation:

Let one number be 'x' and another number be 'y'.

$\therefore \\ \sf x + y = 30 \: \: \: \: \: \: \: \: \: \: .....Eq_{1} \\ \\ \sf \frac{x}{y} = \frac{2}{3} \: \: \: \: \: \: \: \: \: \: \: .....Eq_{2}$

$\sf From \ Eq_{2} : \\ \sf x = \frac{2}{3} y$

$\sf Putting \ the \ value \ of \ x \ in \ Eq_{1} : \\ \sf \implies \frac{2}{3} y + y = 30 \\ \\ \sf \implies \frac{2}{3} y + y \times \frac{3}{3} = 30 \\ \\ \sf \implies \frac{2y}{3} + \frac{3y}{3} = 30 \\ \\ \sf \implies \frac{2y + 3y}{3} = 30 \\ \\ \sf \implies \frac{5y}{3} = 30 \\ \\ \sf \implies 5y = 30 \times 3 \\ \\ \sf \implies 5y = 90 \\ \\ \sf \implies y = \frac{90}{5} \\ \\ \sf \implies y = \frac{18 \times \cancel{5}}{ \cancel{5}} \\ \\ \sf \implies y = 18$

$\sf Putting \ the \ value \ of \ y \ in \ Eq_{1} : \\ \sf \implies x + 18 = 30 \\ \\ \sf \implies x = 30 - 18 \\ \\ \sf \implies x = 12$

So,

The two numbers are 12 and 18.