The sum of two numbers is 2490. If 6.5% of on | vedclass

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

Question

(D) Let the two numbers be $x$ and $y$.Given that the sum of the two numbers is $x + y = 2490$.Also,$6.5\%$ of $x$ is equal to $8.5\%$ of $y$,which ca

Vedclass · Accepted Answer

$1411, 1079$

Vedclass · Answer

(D) Let the two numbers be $x$ and $y$.Given that the sum of the two numbers is $x + y = 2490$.Also,$6.5\%$ of $x$ is equal to $8.5\%$ of $y$,which can be written as:$\frac{6.5}{100} x = \frac{8.5}{100} y$$6.5x = 8.5y$$x = \frac{8.5}{6.5} y = \frac{17}{13} y$Substitute the value of $x$ in the sum equation:$\frac{17}{13} y + y = 2490$$\frac{17y + 13y}{13} = 2490$$\frac{30y}{13} = 2490$$y = \frac{2490 	imes 13}{30} = 83 	imes 13 = 1079$Now,find $x$:$x = 2490 - 1079 = 1411$Thus,the two numbers are $1411$ and $1079$.

The sum of two numbers is $2490$. If $6.5\%$ of one number is equal to $8.5\%$ of the other,then the numbers are:

Similar Questions

An army lost $10 \%$ of its men in war,$10 \%$ of the remaining died due to disease,and $10 \%$ of the rest were declared disabled. Thus,the strength of the army was reduced to $7,29,000$ active men. What was the original strength of the army?

The percentage increase in the surface area of a cube when each side is doubled is:

Mukesh has twice as much money as Soham. Soham has $50 \%$ more money than Pankaj. If the average money with them is ₹ $110$,then Mukesh has:

$A$ number,when $35$ is subtracted from it,reduces to its $80$ percent. What is four-fifths of that number?

The present population of a town is $26010$. It increases annually at the rate of $2\%$. What was the population of the town two years ago?

Vedclass Test Series

Exam Paper Generator

Online Exam Module