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# If 40 percent of a number is subtracted from the second number then the second number is reduced to its 3/5. Find the ratio between the first number and the second number.

This problem can be solved using the concept of ratios.

## Answer: The ratio between the first number and the second number is 1:1.

Let's decode the given information and express it in mathematical terms.

## Explanation:

Let the first number be x and the second number be y.

Given that, when 40% of x is subtracted from y we get 3/5 of y

⇒ y - 40% of x = 3/5 of y

⇒ y - (40/100)x = (3/5)y

⇒ y - (2/5)x = (3/5)y

⇒ y - (3/5)y = (2/5)x

⇒ (1 - 3/5) y = (2/5)x

⇒ [(5-3)/5] y = (2/5)x

⇒ [2/5] y = (2/5)x

⇒ y = x

Therefore, the ratio of x and y is 1:1.

### Thus, the ratio between the first number and the second number is 1:1.

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