Question

Find the numbers,
5. Two numbers are in the ratio 3:5. If 5 is added to each of the numbers, then the ratio becomes 2:3. Find the
numbers.​

Answer 1

Step-by-step explanation:

Given:

Two numbers are in the ratio 3:5. If 5 is added to each of the numbers, then the ratio becomes 2:3

To Find:

The two numbers

Solution:

Let the two numbers be 3x and 5x respectively.

Adding 5 with bothe number we get

→3x+5

→5x+5

Now fraction becomes

$\dashrightarrow \tt \: \frac{3 x + 5}{5x + 5}$

And, it is given that

$\leadsto \tt \: \frac{3x + 5}{5x + 5} = \frac{2}{3}$

So,

ACQ

$\therefore \tt \: \frac{3x + 5}{5x + 5} = \frac{2}{3} \\ \\ \tt \longrightarrow\: 2(5x +5) = 3(3x +5) \bigg[ \: by \: cross \: multuplying \: we \: get \: this \bigg] \\ \\ \tt \longrightarrow10x + 10 = 9x + 15 \\ \\\tt \longrightarrow10x - 9x = 15 - 10 \\ \\ \tt \longrightarrow \: \red {\underline{x = 5}}$

1st number=3x=3×5=15

2nd number=5x=5×5=25

Answer 2

Answer:

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