If ‘×’ means ‘+’, ‘+’ means ‘÷’, ‘÷’ means ‘–’ and ‘–’ means ‘×’, what number should come in place of ? in the equation below?
36 + 4 × ? – 3 ÷ 5 = 22
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 6
Write the real signs first, then work out the known parts by BODMAS and solve for the missing number.
With the real signs the equation reads 36 ÷ 4 + ? × 3 – 5 = 22
\(36\div4=9\)
So \(9+3\times ?-5=22\)
\(3\times ?=22-9+5=18\)
\(?=18\div3=6\)
Check: \(9+6\times3-5=9+18-5=22\)