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Which two digits and signs need to be interchanged so as to balance the given equation?
442 - 13 + 12 × 4 ÷ 75 = 79
  • a)
    4 and 3; + and -
  • b)
    1 and 2; ÷ and ×
  • c)
    7 and 3; - and ÷
  • d)
    7 and 2; × and +
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which two digits and signs need to be interchanged so as to balance t...
To balance the given equation, we need to interchange two digits and two signs. Let's analyze each option to find the correct combination.

a) 4 and 3; and -
If we interchange the digits 4 and 3, the equation becomes:
443 - 12 × 4 ÷ 75 = 79
However, this equation is still not balanced.

b) 1 and 2; ÷ and ×
If we interchange the digits 1 and 2, the equation becomes:
442 - 23 × 4 ÷ 75 = 79
Again, this equation is not balanced.

c) 7 and 3; - and ÷
If we interchange the digits 7 and 3, and the signs - and ÷, the equation becomes:
442 - 13 × 2 - 75 = 79
Now, let's solve the equation step by step:

442 - 13 × 2 - 75
442 - 26 - 75
416 - 75
341
This equation is balanced, as both sides of the equation are equal to 341.

d) 7 and 2; × and -
If we interchange the digits 7 and 2, and the signs × and -, the equation becomes:
442 - 13 - 12 ÷ 75 = 79
This equation is not balanced.

Therefore, the correct combination to balance the equation is 7 and 3; - and ÷ (option c).
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Community Answer
Which two digits and signs need to be interchanged so as to balance t...
According to the BODMAS rule
Option 1 : 4 and 3; + and -
Given:
442 - 13 + 12 × 4 ÷ 75 = 79
After interchange the signs;
332 + 14 - 12 × 3 ÷ 75 = 79
By BODMAS rule
332 + 14 - 12 × 0.04 = 79
332 + 14 – 0.48 = 79
346 – 0.48 = 79
345.52 = 79 (LHS ≠ RHS)
Option 2 : 1 and 2; ÷ and ×
Given:
442 - 13 + 12 × 4 ÷ 75 = 79
After interchange the signs;
441 - 23 + 21 ÷ 4 × 75 = 79
By BODMAS rule
441 - 23 + 5.25 × 75 = 79
441 - 23 + 393.75 = 79
834.75 – 23 = 79
811.75 ≠ 79 (LHS ≠ RHS)
Option 3 : 7 and 3; - and ÷
Given:
442 - 13 + 12 × 4 ÷ 75 = 79
After interchange the signs;
442 ÷ 17 + 12 × 4 - 35 = 39
By BODMAS rule
26 + 12 × 4 - 35 = 39
26 + 48 - 35 = 39
74 - 35 = 39
39 = 39 (LHS = RHS)
Option 4 : 7 and 2; × and +
Given:
447 - 13 + 17 × 4 ÷ 25 = 29
After interchange the signs;
442 - 13 × 12 + 4 ÷ 75 = 79
By BODMAS rule
442 - 13 × 12 + 0.054 = 79
442 - 156 + 0.054 = 79
442.054 - 156 = 79
286.054 ≠ 79 (LHS ≠ RHS)
Hence, the answer is “7 and 3; - and ÷”.
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Which two digits and signs need to be interchanged so as to balance the given equation?442 - 13 + 12 × 4 ÷ 75 = 79a)4 and 3; + and -b)1 and 2; ÷ and ×c)7 and 3; - and ÷d)7 and 2; × and +Correct answer is option 'C'. Can you explain this answer?
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