Some equations are solved on the basis of a certain system. Find the correct…
2019
Some equations are solved on the basis of a certain system. Find the correct answer for the given unsolved equation on that basis.
94 × 18 = 44
89 × 23 = 78
75 × 36 = ?
Answer: D. 53 — The pattern works on the four digits of the two numbers: multiply the two digits of the first number, multiply the two digits of the second number, then add…
- A.
21
- B.
43
- C.
56
- D.
53
Attempted by 296 students.
Show answer & explanation
Correct answer: D
The pattern works on the four digits of the two numbers: multiply the two digits of the first number, multiply the two digits of the second number, then add the two products.
Rule: (tens digit of 1st number × units digit of 1st number) + (tens digit of 2nd number × units digit of 2nd number) = Result
Verify with the given equations:
94 × 18 = 44 → (9 × 4) + (1 × 8) = 36 + 8 = 44 ✓
89 × 23 = 78 → (8 × 9) + (2 × 3) = 72 + 6 = 78 ✓
Apply the same rule to the unsolved equation:
75 × 36 = ? → (7 × 5) + (3 × 6) = 35 + 18 = 53
So 75 × 36 = 53.