Question

If a⊕ b= 1 / a + 1 / b, for what decimal value of a is a⊕ 0.2 = 10?

Answer 1

a = 0.2

Explanation:

Given the operation a⊕ b= 1 / a + 1 / b, it can be inferred from the operation that a is similar to 1/a and b is similar to 1/b.

For the operation a⊕ 0.2 = 10, on applying the rule above;

1/a+1/0.2 = 10

1/a + 5 = 10

1/a = 10-5

1/a = 5

a = 1/5

a = 0.2