Question

Find the unknown value from the following
\[8597 - ? = 7429 - 4358\]
A. 5246
B. 5706
C. 5526
D. 5476
E. None of these

Answer 1

Hint: We use simple arithmetic operation subtraction in the right hand side of the given equation and calculate the value in the right hand side of the equation. Assume the value in place of the question mark as a variable and form an equation. Shift the required constant values of one side and calculate the value of x using arithmetic operations.

Complete step-by-step solution:
We are given the equation \[8597 - ? = 7429 - 4358\]
Let us assume the value of ? as ‘x’
Then the equation becomes \[8597 - x = 7429 - 4358\]...............… (1)
Now we have to calculate the value of ‘x’ from equation (1)
Calculate the difference of numbers in right hand side of the equation
\[ \Rightarrow 8597 - x = 3071\]
Now shift all the constant values to left hand side of the equation and variable ‘x’ to right hand side of the equation
\[ \Rightarrow 8597 - 3071 = x\]
Calculate the difference of numbers in left hand side of the equation
\[ \Rightarrow 5526 = x\]
\[\therefore \]The value of ‘x’ is 5526
Since, x is the value at the place of ?
\[\therefore \]The value of ‘?’ is 5526

\[\therefore \]The correct option is C.

Note: Students are likely to make mistakes while shifting the values from one side of the equation to another side of the equation as they forget to change the sign of the value shifted. Keep in mind we always change the sign of the value from positive to negative and vice versa when shifting values from one side of the equation to another side of the equation.