One-fifth of a number is equal to frac{5}{8} | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the two numbers be $x$ and $y$.According to the problem,we have the following equations:$(1) \quad \frac{1}{5} x = \frac{5}{8} y$$(2) \quad x

Vedclass · Accepted Answer

$40$

Vedclass · Answer

(B) Let the two numbers be $x$ and $y$.According to the problem,we have the following equations:$(1) \quad \frac{1}{5} x = \frac{5}{8} y$$(2) \quad x + 35 = 4 y$From equation $(1)$,we can express $x$ in terms of $y$:$x = \frac{5}{8} y 	imes 5 = \frac{25}{8} y$Now,substitute this value of $x$ into equation $(2)$:$\frac{25}{8} y + 35 = 4 y$Rearranging the terms to solve for $y$:$35 = 4 y - \frac{25}{8} y$$35 = \left( \frac{32 - 25}{8} ight) y$$35 = \frac{7}{8} y$$y = \frac{35 	imes 8}{7}$$y = 5 	imes 8 = 40$Therefore,the second number is $40$.

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

Similar Questions

The value of $(1001)^3$ is

The sum of two numbers is $24$ and their product is $143$. The sum of their squares is

$4 \frac{4}{5} \div 6 \frac{2}{5} = ?$

The sum of two numbers is $100$ and their difference is $37$. The difference of their squares is

$4433.764 - 2211.993 - 1133.667 + 3377.442 = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module