Question

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

• A. $10$
• B. $12$
• C. $15$
• D. $16$

Answer 1

The correct option is A $10$

Given that,

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

Now,

Let, the required number are x and y

According to the question,

The sum of two numbers is $22$,

$x+y=22$ …….(1)

Five times one number is equal to $6$ times the other,

$5x=6y$ …..(2)

From equation 1^st,

$5(22-y)=6y$

$110-5y=6y$

$11y=110$

$y=10$

Put, the value of y in equation 1^st,

$10+x=22$

$x=12$

Hence, this is the answer.