What is missing number to make the equation correct? 9 ÷ ___ × 7 – 6 + 8 = 23
Answers
Answer:
3
Step-by-step explanation:
you can solve and see the ans also
Given,
9 ÷ ___ × 7 – 6 + 8 = 23
To find,
The number in the blank.
Solution,
The missing number to make the equation correct will be 3.
We can easily solve this problem by following the given steps.
According to the question,
9 ÷ ___ × 7 – 6 + 8 = 23
Let's take the number in the blank to be x.
We can solve this using the BODMAS rule ( we will first solve Bracket, Of, Division, Multiplication, Addition, and then subtraction.)
9 ÷ x × 7 – 6 + 8 = 23
(9/x) × 7 - 6 + 8 = 23
(63/x) -6+8 = 23
Now, taking the LCM of the denominators x and 1,
63+8x-6x/x = 23
63+2x/x = 23
Using the cross multiplication method,
(63+2x) = 23x
63 = (23x-2x) [Moving 2x from the left-hand side to the right-hand side results in the change of the sign from plus to minus.]
21x = 63
x = 63/21
x = 3
Hence, the missing number to make the equation correct is 3. And the correct equation is 9 ÷ 3× 7 – 6 + 8 = 23.