Question Details

Which of the following interchanges of signs would make the given equation correct?
10 + 23 − 3 × 63 ÷ 7 = 70

Options

A

+ and ×

B

− and ×

C

÷ and ×

D

− and +

Show Answer

Correct Answer :

Option B

− and ×

Solution :

The correct option is − and ×.

Given equation:
10+23-3×63÷7=70

We need to check which interchange of signs satisfies the equation. Let us interchange the signs and × in the Left Hand Side (LHS) of the equation.

Substituting with × and × with , the LHS expression becomes:
10+23×3-63÷7

Using the BODMAS rule (Division, Multiplication, Addition, Subtraction):

Step 1: Division
63÷7=9
The expression becomes:
10+23×3-9

Step 2: Multiplication
23×3=69
The expression becomes:
10+69-9

Step 3: Addition
10+69=79
The expression becomes:
79-9

Step 4: Subtraction
79-9=70

Here, LHS = RHS = 70.

Thus, interchanging − and × makes the equation correct.

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