Which two signs should be interchanged to make the given equation correct?
32 + 24 × 4 ÷ 16 – 64 = 90
The logic followed here is :-
By using BODMAS RULE :
Option 1) : + and ×
Given equation : 32 + 24 × 4 ÷ 16 – 64 = 90
After interchanging the symbols in given equation the equation is as follows : 32 × 24 + 4 ÷ 16 - 64 = 90
⇒ 32 × 24 + 4 ÷ 16 - 64 = 90
⇒ 32 × 24 + 0.25 - 64 = 90
⇒ 768 + 0.25 - 64 = 90
⇒ 768.25 - 64 = 90
⇒ 704.25 ≠ 90
LHS ≠ RHS
Option 2) : ÷ and +
Given equation : 32 + 24 × 4 ÷ 16 – 64 = 90
After interchanging the symbols in given equation the equation is as follows : 32 ÷ 24 × 4 + 16 - 64 = 90
⇒ 32 ÷ 24 × 4 + 16 - 64 = 90
⇒ 1.333 × 4 + 16 - 64 = 90
⇒ 5.333 + 16 - 64 = 90
⇒ 21.333 - 64 = 90
⇒ - 42.666 ≠ 90
LHS ≠ RHS
Option 3) : ÷ and ×
Given equation : 32 + 24 × 4 ÷ 16 – 64 = 90
After interchanging the symbols in given equation the equation is as follows : 32 + 24 ÷ 4 × 16 - 64 = 90
⇒ 32 + 24 ÷ 4 × 16 - 64 = 90
⇒ 32 + 6 × 16 - 64 = 90
⇒ 32 + 96 - 64 = 90
⇒ 128 - 64 = 90
⇒ 64 ≠ 90
LHS ≠ RHS
Option 4) : + and –
Given equation : 32 + 24 × 4 ÷ 16 – 64 = 90
After interchanging the symbols in given equation the equation is as follows : 32 - 24 × 4 ÷ 16 + 64 = 90
⇒ 32 - 24 × 4 ÷ 16 + 64 = 90
⇒ 32 - 24 × 0.25 + 64 = 90
⇒ 32 - 6 + 64 = 90
⇒ 96 - 6 = 90
⇒ 90 = 90
LHS = RHS
Hence, the correct answer is "+ and –".