Find the Ratio between the First Number and the Second Number.
Question: 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.
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.