The sum of two numbers is 22. Five times one | vedclass

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(B) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $x + y = 22$ (Equation $1$).Also,five times one number is eq

Vedclass · Accepted Answer

$12$

Vedclass · Answer

(B) Let the two numbers be $x$ and $y$.According to the problem,the sum of the numbers is $x + y = 22$ (Equation $1$).Also,five times one number is equal to $6$ times the other,so $5x = 6y$ (Equation $2$).From Equation $2$,we can express $x$ as $x = \frac{6}{5}y$.Substitute this into Equation $1$:$\frac{6}{5}y + y = 22$$\frac{6y + 5y}{5} = 22$$\frac{11y}{5} = 22$$11y = 110$$y = 10$.Now,substitute $y = 10$ into Equation $1$:$x + 10 = 22$$x = 12$.The two numbers are $12$ and $10$. The bigger number is $12$.

The sum of two numbers is $22$. Five times one number is equal to $6$ times the other. The bigger of the two numbers is

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