Question

Which two numbers should be Interchanged to make the given equation correct? 52 + 44 - 38 ÷ 2 + 13× 4 - 26 = 97 (Note: Interchange should be done of entire number and not individual digits of a given number)

• A. 44 and 38
• B. 38 and 26
• C. 44 and 26
• D. 52 and 38

Answer 1

Answer:

B. 38 and 26

Evaluate the given expression using BODMAS:

52 + 44 - 38 ÷ 2 + 13 × 4 - 26
= 52 + 44 - 19 + 52 - 26
= 103
But RHS = 97 → we need −6 adjustment

Try interchanging 44 and 38

New expression:
52 + 38 - 44 ÷ 2 + 13 × 4 - 26
= 52 + 38 - 22 + 52 - 26
= 94

Try interchanging 52 and 44

44 + 52 - 38 ÷ 2 + 13 × 4 - 26
= 44 + 52 - 19 + 52 - 26
= 103

(no change)

Try interchanging 44 and 26

52 + 26 - 38 ÷ 2 + 13 × 4 - 44
= 52 + 26 - 19 + 52 - 44
= 67

Try interchanging 38 and 26

52 + 44 - 26 ÷ 2 + 13 × 4 - 38
= 52 + 44 - 13 + 52 - 38
= 97

Final Answer:

38 and 26