What is the value of s in [s - 5 - {5 - 4 + (7 × 6 -12 ÷ 3)} = -40]

Solution:

We will use the concept of BODMAS and transposition to find the value of s.

We will follow the BODMAS and solve the above expression step by step to find the value of s.

Step 1: We will solve the innermost parenthesis first i.e. (7 × 6 - 12 ÷ 3)

= (7 × 6 - (12 ÷ 3))

= (7 × 6 - 4)

= 42 - 4 = 38

Substituting value of [(7 × 6 - 12 ÷ 3) = 38]

⇒ s - 5 - {5 - 4 + 38} = -40

Step 2 : We will solve the curly parenthesis i.e. {5 - 4 + 38} and on solving we get 39

⇒ s - 5 - 39 = -40

Step 3 : We will solve the left-hand expression i.e. s - 5 - 39 and on solving we get

⇒ s - 44 = -40

Step 4: We will transpose -44 to the right-hand side of the equation, and on transposing sign of -44 will be changed from negative to positive

⇒ s = 44 - 40

⇒ s = 4

Hence s = 4 for the expression [s - 5 - {5 - 4 + (7 × 6 -12 ÷ 3)} = -40]

Summary:

The value of s in the expression [s - 5 - {5 - 4 + (7 × 6 -12 ÷ 3)} = -40] is 4

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