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Equality of 2 Complex Numbers

If 53+4i =a...

Question

If $5 (3 + 4 i) = a + i b$ then (a,b) equal

A

(15, 20)

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B

(20, 15)

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C

(-15, 20)

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D

none of these

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Solution

The correct option is A (15, 20)
Given: $5 (3 + 4 i) = a + i b$
$\Rightarrow 15 + 20 i = a + i b$
Comparing the real and imaginary parts, we get
$a = 15, b = 20$
$∴ (a, b) = (15, 20)$

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