Question

Two numbers are in the ratio between them is 3:5. If each is increased by 5, the ratio between the new numbers so formed is 2:3. Find the original number.

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Answer 1

Answer:

let the multiplying factor be x

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

cross multiplication

3x(3x + 5 ) = 2x( 5x + 5)

9

$9 {x}^{2} + 15x \: = \: \: 10 {x}^{2} \: + 10x$

$5x \: = {x}^{2}$

x = 5

3x = 15

5x = 25