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

Similar Questions

What is the smallest $6$-digit number that is completely divisible by $108$?

The sum of the digits of a two-digit number is $8$. If the digits are reversed,the number is increased by $54$. Find the number.

$\sqrt{2601} - \sqrt{1156} + \sqrt{484} = ?$

The expression $\frac{8.25 \times 8.25 + 6.75 \times 6.75 - 2 \times 8.25 \times 6.75}{8.25 \times 8.25 - 6.75 \times 6.75}$ when simplified equals:

If $a$ and $b$ are odd numbers,then which of the following is even?

Vedclass Test Series

Exam Paper Generator

Online Exam Module