if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged, 59 – 72 × 8 + (64 ÷ 4) × 8 – 16 ÷ 3 = ?
What will come in place of the question mark (?) in the following equation, if ‘+’ and ‘–’ are interchanged and ‘×’ and ‘÷’ are interchanged?
यदि ‘+’ और ‘–’ को परस्पर बदल दिया जाए तथा ‘×’ और ‘÷’ को परस्पर बदल दिया जाए, तो निम्नलिखित समीकरण में प्रश्न-चिह्न (?) के स्थान पर क्या आएगा?
59 – 72 × 8 + (64 ÷ 4) × 8 – 16 ÷ 3 = ?
Detailed Solution & Logic
84
Given expression:
59 – 72 × 8 + (64 ÷ 4) × 8 – 16 ÷ 3
Operation changes:
-
‘+’ ↔ ‘–’
-
‘×’ ↔ ‘÷’
So the new expression becomes:
59 + 72 ÷ 8 − (64 × 4) ÷ 8 + 16 × 3
Now solve using BODMAS.
First brackets:
$64 \times 4 = 256$
Expression becomes:
59 + 72 ÷ 8 − 256 ÷ 8 + 16 × 3
Now division and multiplication:
$72 \div 8 = 9$
$256 \div 8 = 32$
$16 \times 3 = 48$
Now substitute:
59 + 9 − 32 + 48
Solve step-by-step:
59 + 9 = 68
68 − 32 = 36
36 + 48 = 84
Final Answer: 84
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