Question

two numbers are such that the ratio beetween them is 3:5. if each is encreased by 10, the ratio between the new number so formed is 5:7. find the original number​

Answer 1

Answer:

The numbers are 15 and 25

explaination in the picture

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Answer 2

Step-by-step explanation:

Let the two numbers be 3x and 5x

According to the given information:

On increasing the numbers by 10, ratio becomes 5 : 7

New numbers would be:

3x + 10 & 5x + 10

Hence,

$\frac{3x + 10}{5x + 10} = \frac{5}{7} \\ 7(3x + 10) = 5(5x + 10) \\ 21x + 70 = 25x + 50 \\ 70 - 50 = 25x - 21x \\ 20 = 4x \\ x = \frac{20}{4} \\ x = 5 \\ \implies \: 3x = 3 \times 5 = 15 \\ and \: 5x = 5 \times 5 = 25 \\ thus \: the \: original \: numbers \: are \\ 15 \: and \: 25.$