If a % b = a² - b² and a % b = 63, find a and b.

Question

Accepted Answer

1. By definition: $a\%b=a^2-b^2=63$.

2. Check each choice:

- (a) $9^2-6^2=81-36=45
eq63$
- (b) $10^2-7^2=100-49=51
eq63$
- (c) $8^2-1^2=64-1=63$
- (d) $7^2-4^2=49-16=33
eq63$

3. **Only (c) gives 63**, so $(a,b)=(8,1)$.

FINAL_ANSWER: c

Answer

Answer

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