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

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(D) Let the two numbers be $x$ and $y$.Given that the sum of the numbers is $2490$,so $x + y = 2490$ (Equation $1$).Given that $6.5\%$ of $x$ is equal

Vedclass · Accepted Answer

$1411, 1079$

Vedclass · Answer

(D) Let the two numbers be $x$ and $y$.Given that the sum of the numbers is $2490$,so $x + y = 2490$ (Equation $1$).Given that $6.5\%$ of $x$ is equal to $8.5\%$ of $y$,so $\frac{6.5}{100}x = \frac{8.5}{100}y$.This simplifies to $6.5x = 8.5y$,or $x = \frac{8.5}{6.5}y = \frac{17}{13}y$ (Equation $2$).Substituting the value of $x$ from Equation $2$ into Equation $1$:$\frac{17}{13}y + y = 2490$$\frac{17y + 13y}{13} = 2490$$\frac{30}{13}y = 2490$$y = \frac{2490 	imes 13}{30} = 83 	imes 13 = 1079$.Now,find $x$ using Equation $1$:$x = 2490 - 1079 = 1411$.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:

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