Question

five - seventh of the difference of a number and nine is equal to forty.find the number​

Answer 1

Answer:

65

Step-by-step explanation:

Correct I think...You can try to put the value of x as 65..

Answer 2

Answer:

Number is 65

Step-by-step explanation:

Let the number be '$x$'

Given that, five-seventh of the difference of a number and nine is equal to 40. i.e.,

$\frac{5}{7} (x - 9) = 40\\\\= > 5(x -9 ) = 40 \times 7\\\\= > 5(x-9) = 280\\\\= > x-9 = \frac{280}{5} \\\\= > x-9 = 56\\\\= > x = 56 + 9\\\\= > x = 65$

Here, nothing but Transposition helps in finding the answer.

What is Transposition?

Transposition is the process of moving a term from one side to another side of an equation. When a term is transposed to other side, its sign changes. Here are some commonly used sign changes:

• Addition(+) changes to Subtraction(-)
• Subtraction changes to Addition
• Multiplication($\times$) changes to Division(÷)
• Division changes to Multiplication

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