If the sum of a number and 9 is multiplied by 6, the result is same as 7 times the number decreased by 4. find the number

6(x+9) = 7(x-4)
6x+54 = 7x-28
54 = x-28
82 = x
The number is 82.

The first step to solving this is writing an equation to put it in numbers rather than words.
When a number is unknown, it is represented by a variable, usually x. But of course, the letter you use doesn't matter.
The question says that an unknown number plus 9 times 6 is equal to 7 times that number minus 4.
That means:
(x + 9) • 6 = 7x - 4
Note that the unknown and 9 are in parenthesis. This is because it says the sum of them are being multiplied.
Before you can solve, you must simplify.
Using the distributive property, multiply 6 by each term in the parentheses.
6 • x = 6x
6 • 9 = 54
This leaves us with 6x + 54 = 7x - 4.
Now you need to isolate the variable on one side and a known number on the other.
To keep it simple, let's subtract 6x from both sides.
7x - 6x = 1x = x
This gets us to 54 = x - 4
Now just add 4 to both sides to isolate the variable.
54 + 4 = 58
This means x = 58.
Now just check your work!
(58 + 9) • 6 = 7(58) - 4
58 + 9 = 67
67 • 6 = 402
Now the other side:
7 • 58 = 406
406 - 4 = 402

So the final answer is x, or just the unknown number in general, is 58.

Solution:

we are given with a diagram , and we have been asked to find the value of x.

From the diagram its clear that Triangle ABC and Triangle BCD are similar.

So from the property of the similar triangle we know that -"The ratio of their corresponding sides are equal"

So we can write

Hence value of x=15