Question

Find two numbers if their ratio is 9:11 and their difference is 6.

Answer 1

To find the two numbers, we set up an equation based on the given conditions and solve for x. The two numbers are found by multiplying x by the ratio values.

Step-by-step explanation:

To find two numbers with a ratio of 9:11 and a difference of 6, we can set up the following equations:
Let the numbers be 9x and 11x.
According to the given conditions:
11x - 9x = 6
Simplifying the equation, we get:
2x = 6
Dividing both sides of the equation by 2, we find:
x = 3
Therefore, the two numbers are 9(3) = 27 and 11(3) = 33.
So, the two numbers are 27 and 33.

Answer 2

Answer: The required numbers are 27 and 33.

Step-by-step explanation: We are given to find two numbers if their ratio is 9:11 and their difference is 6.

Let the two numbers be 9x and 11x.

Then, according to the given information, we have

`11x-9x=6\\\\\Rightarrow 2x=6\\\\\Rightarrow x=(6)/(2)\\\\\Rightarrow x=3.`

Therefore, the numbers are

`9x=9*3=27,\\\\11x=11*3=33.`

Thus, the required numbers are 27 and 33.