Question
Download Solution PDFWhich two numbers have to be interchanged to correct the given equation?
55 + 32 - 4 × (1 × 12) + (16 ÷ 4) = 31
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF1) 16 and 32
Given equation: 55 + 32 – 4 × (1 × 12) + (16 ÷ 4) = 31
After interchanging ‘16 and 32’, we get:
L.H.S = 55 + 16 – 4 × (1 × 12) + (32 ÷ 4)
= 55 + 16 – 4 × 12 + 8
= 55 + 16 – 48 + 8
= 79 – 48
= 31 = R.H.S
2) 55 and 32
Given equation: 55 + 32 – 4 × (1 × 12) + (16 ÷ 4) = 31
After interchanging ‘55 and 32’, we get:
L.H.S = 32 + 55 – 4 × (1 × 12) + (16 ÷ 4)
= 32 + 55 – 4 × 12 + 4
= 32 + 55 – 48 + 4
= 32 + 23 + 3
= 58 ≠ R.H.S
3) 12 and 32
Given equation: 55 + 32 – 4 × (1 × 12) + (16 ÷ 4) = 31
After interchanging ‘12 and 32’, we get:
L.H.S = 55 + 12 – 4 × (1 × 32) + (16 ÷ 4)
= 55 + 12 – 4 × 32 + 4
= 55 + 12 – 128 + 4
= 71 – 128
= - 57 ≠ R.H.S
4) 12 and 16
Given equation: 55 + 32 – 4 × (1 × 12) + (16 ÷ 4) = 31
After interchanging ‘12 and 16’, we get:
L.H.S = 55 + 32 – 4 × (1 × 16) + (12 ÷ 4)
= 55 + 32 – 4 × 16 + 3
= 55 + 32 – 64 + 3
= 90 – 64
= 26 ≠ R.H.S
Hence, ‘16 and 32’ is the correct answerLast updated on Jun 30, 2025
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