Arithmetic

Percentages

Easy

One-fifth of a number is equal to $(\frac{5}{8})^{th}$ of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.

✅ Correct Option: 3

Let the first number be $x$ and second number be $y$ , then:

$\frac{x}{5}=\frac{5y}{8}$ , $x=\frac{25y}{8}$

and $x+35=4y$

which, we can rewrite as: $\frac{25y}{8}+35=4y$

$4y-\frac{25y}{8}=35$

$\frac{7y}{8}=35$

$y=40$

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One-fifth of a number is equal to $(\frac{5}{8})^{th}$ of another number. If 35 is added to the first number, it becomes four times the second number. Find the second number.