Question

When 2/5 of the first number is added to the second number, the second number increases by 1/4 of its value.
What is the ratio between the first and the second number?​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Given: When 2/5 of the first number is added to the second number, the second number increases by 1/4 of its value.

To find: Ratio between the first and second number

Let: The first number be $x$ and second number be $y$

Solution: According to the given question,

When 2/5 of the first number is added to the second number, the second number increases by 1/4 of its value.

∵ $\frac{2}{5}x + y = y + \frac{1}{4}y$

⇒ $\frac{2}{5}x = \frac{1}{4}y$

Using cross multiplication,

⇒ $2x*4 = y*5$

⇒ $8x = 5y$

⇒ $\frac{x}{y} = \frac{5}{8}$

Hence, the ratio between the first number and second number is 5 : 8.