Find the value of a where
1a
Xa
9a
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8
A = 6 if 1A * A = 9A where A is a digit
Step-by-step explanation:
1a
Xa
9a
1A * A = 9A
(10 + A) * A = 9A
10A + A² = 90 + A
=> A² + 9A - 90 = 0
=> A² + 15A - 6A - 90 =0
=> A(A + 15) - 6(A + 15) = 0
=> (A - 6)(A + 15) = 0
=> A = 6
16 * 6 = 96
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