If 2Δ5=5, 2Δ3=3 and 8Δ4=16, then find the value of 16Δ8=?
- A18
- B14
- C16
- D64
Solution & Step-by-step Explanation
Let's deduce the mathematical logic hidden behind the operator Δ:
Let the two numbers be A and B.
2Δ5→
2
2×5
=5
2Δ3→
2
2×3
=3
8Δ4→
2
8×4
=16
The relationship rule is clearly:
AΔB=
2
A×B
Applying this formula to evaluate 16Δ8:
16Δ8=
2
16×8
=16×4=64
Let the two numbers be A and B.
2Δ5→
2
2×5
=5
2Δ3→
2
2×3
=3
8Δ4→
2
8×4
=16
The relationship rule is clearly:
AΔB=
2
A×B
Applying this formula to evaluate 16Δ8:
16Δ8=
2
16×8
=16×4=64