Some equations are solved on the basis of a certain rule. On the same basis, find the answer to the unsolved equation.
If 83 × 17 = 31 and 37 × 42 = 29, then 49 × 18 = ?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 44
Here ‘×’ does not mean ordinary multiplication. Find the rule from the solved equations: multiply the two digits of each number and add the two products.
83 × 17: \(8\times3=24\) and \(1\times7=7\); \(24+7=31\)
37 × 42: \(3\times7=21\) and \(4\times2=8\); \(21+8=29\)
The rule fits both solved equations, so for 49 × 18: \(4\times9=36\) and \(1\times8=8\)
\(36+8=44\)