Question

The ratio between two numbers is 12 : 13. If each number is reduced by 20, the ratio becomes 2 : 3. Find the numbers.

Please guys help me in this.

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Answer 1

Answer:

$12x \: and \: 13x \\ \frac{12x - 20}{13x - 20} = \frac{2}{3} \\ 3(12x - 20) = 2(13x - 20) \\ 36x - 60 = 26x - 40 \\ 36x - 26x = - 40 + 60 \\ 10x = 20 \\ x = \frac{20}{10} \\ x = 2$

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