# Find a and b if a + 2b + 2ai = 4 + 6i - Mathematics and Statistics

Sum

Find a and b if a + 2b + 2ai = 4 + 6i

#### Solution

a + 2b + 2ai = 4 + 6i

Equating real and imaginary parts, we get

a + 2b = 4 …(i)

2a = 6 …(ii)

∴ a = 3

Substituting, a = 3 in (i), we get

3 + 2b = 4

∴ b = 1/2

∴ a = 3 and b = 1/2

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