If 18Δ4=11, 16Δ8=12, and 6Δ12=9, then find the value of 18Δ14=?
- A16
- B12
- C4
- D20
Solution & Step-by-step Explanation
Let us look for a consistent mathematical rule that connects the numbers across all examples:
For AΔB=C:
2
A+B
=C
Let's verify this hypothesis with the data:
18Δ4→
2
18+4
=
2
22
=11 (Correct)
16Δ8→
2
16+8
=
2
24
=12 (Correct)
6Δ12→
2
6+12
=
2
18
=9 (Correct)
Applying the same rule to the required operation:
18Δ14→
2
18+14
=
2
32
=16
For AΔB=C:
2
A+B
=C
Let's verify this hypothesis with the data:
18Δ4→
2
18+4
=
2
22
=11 (Correct)
16Δ8→
2
16+8
=
2
24
=12 (Correct)
6Δ12→
2
6+12
=
2
18
=9 (Correct)
Applying the same rule to the required operation:
18Δ14→
2
18+14
=
2
32
=16