Question

Two numbers are in the 3:5. if 5 is substracted from each
of the followt number , then the ratio becomes 1:2 find the
numbers​

Answer 1

Answer:

1st no. 15

2nd no. 25

Step-by-step explanation:

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Answer 2

Answer:

15 and 25

Step-by-step explanation:

Let 'x' be some number

The numbers in the ratio 3:5 ⇒ 3x and 5x

The numbers in the ratio 1:2 ⇒ x and 2x

Now, subtracting 5 from the numbers of the first ratio, we get

(3x - 5) and (5x - 5)

Now,

$\frac{3x - 5}{5x - 5} = \frac{x}{2x}$

2x(3x - 5) = x(5x - 5)           [Cross multiplication]

$6x^{2} - 10x = 5x^{2} - 5x$

$x^{2} - 5x = 0$

$x^{2} = 5x$

$x = 5$

∴ The numbers are

3x = 3 × 5 = 15

5x = 5 × 5 = 25